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Finding the Third Proportional to 124,361 and 266,466

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Solution

The third proportional to 124,361 and 266,466 is: 570,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,361 : 266,466 = 266,466 : x
  2. Step 2: Convert to fraction form
    124,361/266,466 = 266,466/x
  3. Step 3: Cross multiply
    124,361x = 266,466 × 266,466
  4. Step 4: Simplify right side
    124,361x = 71,004,129,156
  5. Step 5: Solve for x
    x = 71,004,129,156/124,361
  6. Step 6: Final answer
    x = 570,951.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.