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Finding the Third Proportional to 133,220.25 and 202,564.13

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Solution

The third proportional to 133,220.25 and 202,564.13 is: 308,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,220.25 : 202,564.13 = 202,564.13 : x
  2. Step 2: Convert to fraction form
    133,220.25/202,564.13 = 202,564.13/x
  3. Step 3: Cross multiply
    133,220.25x = 202,564.13 × 202,564.13
  4. Step 4: Simplify right side
    133,220.25x = 41,032,224,737.02
  5. Step 5: Solve for x
    x = 41,032,224,737.02/133,220.25
  6. Step 6: Final answer
    x = 308,002.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.