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Finding the Third Proportional to 222,658.88 and 525,087.56

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Solution

The third proportional to 222,658.88 and 525,087.56 is: 1,238,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,658.88 : 525,087.56 = 525,087.56 : x
  2. Step 2: Convert to fraction form
    222,658.88/525,087.56 = 525,087.56/x
  3. Step 3: Cross multiply
    222,658.88x = 525,087.56 × 525,087.56
  4. Step 4: Simplify right side
    222,658.88x = 275,716,948,292.19
  5. Step 5: Solve for x
    x = 275,716,948,292.19/222,658.88
  6. Step 6: Final answer
    x = 1,238,293.10

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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.