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Finding the Third Proportional to 200,526.75 and 291,761.06

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Solution

The third proportional to 200,526.75 and 291,761.06 is: 424,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,526.75 : 291,761.06 = 291,761.06 : x
  2. Step 2: Convert to fraction form
    200,526.75/291,761.06 = 291,761.06/x
  3. Step 3: Cross multiply
    200,526.75x = 291,761.06 × 291,761.06
  4. Step 4: Simplify right side
    200,526.75x = 85,124,517,591.13
  5. Step 5: Solve for x
    x = 85,124,517,591.13/200,526.75
  6. Step 6: Final answer
    x = 424,504.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.