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Finding the Third Proportional to 106,685 and 230,431

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Solution

The third proportional to 106,685 and 230,431 is: 497,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,685 : 230,431 = 230,431 : x
  2. Step 2: Convert to fraction form
    106,685/230,431 = 230,431/x
  3. Step 3: Cross multiply
    106,685x = 230,431 × 230,431
  4. Step 4: Simplify right side
    106,685x = 53,098,445,761
  5. Step 5: Solve for x
    x = 53,098,445,761/106,685
  6. Step 6: Final answer
    x = 497,712.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.