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Finding the Third Proportional to 200,859.75 and 437,774.63

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Solution

The third proportional to 200,859.75 and 437,774.63 is: 954,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,859.75 : 437,774.63 = 437,774.63 : x
  2. Step 2: Convert to fraction form
    200,859.75/437,774.63 = 437,774.63/x
  3. Step 3: Cross multiply
    200,859.75x = 437,774.63 × 437,774.63
  4. Step 4: Simplify right side
    200,859.75x = 191,646,622,293.89
  5. Step 5: Solve for x
    x = 191,646,622,293.89/200,859.75
  6. Step 6: Final answer
    x = 954,131.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.