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Finding the Third Proportional to 124,357 and 266,458

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Solution

The third proportional to 124,357 and 266,458 is: 570,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,357 : 266,458 = 266,458 : x
  2. Step 2: Convert to fraction form
    124,357/266,458 = 266,458/x
  3. Step 3: Cross multiply
    124,357x = 266,458 × 266,458
  4. Step 4: Simplify right side
    124,357x = 70,999,865,764
  5. Step 5: Solve for x
    x = 70,999,865,764/124,357
  6. Step 6: Final answer
    x = 570,935.82

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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.