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Finding the Third Proportional to 106,466 and 234,534

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Solution

The third proportional to 106,466 and 234,534 is: 516,655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,466 : 234,534 = 234,534 : x
  2. Step 2: Convert to fraction form
    106,466/234,534 = 234,534/x
  3. Step 3: Cross multiply
    106,466x = 234,534 × 234,534
  4. Step 4: Simplify right side
    106,466x = 55,006,197,156
  5. Step 5: Solve for x
    x = 55,006,197,156/106,466
  6. Step 6: Final answer
    x = 516,655.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.