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Finding the Third Proportional to 137,982 and 202,431

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Solution

The third proportional to 137,982 and 202,431 is: 296,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,982 : 202,431 = 202,431 : x
  2. Step 2: Convert to fraction form
    137,982/202,431 = 202,431/x
  3. Step 3: Cross multiply
    137,982x = 202,431 × 202,431
  4. Step 4: Simplify right side
    137,982x = 40,978,309,761
  5. Step 5: Solve for x
    x = 40,978,309,761/137,982
  6. Step 6: Final answer
    x = 296,983.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.