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Finding the Third Proportional to 222,648.75 and 525,066.75

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Solution

The third proportional to 222,648.75 and 525,066.75 is: 1,238,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,648.75 : 525,066.75 = 525,066.75 : x
  2. Step 2: Convert to fraction form
    222,648.75/525,066.75 = 525,066.75/x
  3. Step 3: Cross multiply
    222,648.75x = 525,066.75 × 525,066.75
  4. Step 4: Simplify right side
    222,648.75x = 275,695,091,955.56
  5. Step 5: Solve for x
    x = 275,695,091,955.56/222,648.75
  6. Step 6: Final answer
    x = 1,238,251.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.