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Finding the Third Proportional to 138,033.49 and 291,982.06

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Solution

The third proportional to 138,033.49 and 291,982.06 is: 617,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,033.49 : 291,982.06 = 291,982.06 : x
  2. Step 2: Convert to fraction form
    138,033.49/291,982.06 = 291,982.06/x
  3. Step 3: Cross multiply
    138,033.49x = 291,982.06 × 291,982.06
  4. Step 4: Simplify right side
    138,033.49x = 85,253,523,681.20
  5. Step 5: Solve for x
    x = 85,253,523,681.20/138,033.49
  6. Step 6: Final answer
    x = 617,629.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.