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Finding the Third Proportional to 124,379 and 266,488

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Solution

The third proportional to 124,379 and 266,488 is: 570,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,379 : 266,488 = 266,488 : x
  2. Step 2: Convert to fraction form
    124,379/266,488 = 266,488/x
  3. Step 3: Cross multiply
    124,379x = 266,488 × 266,488
  4. Step 4: Simplify right side
    124,379x = 71,015,854,144
  5. Step 5: Solve for x
    x = 71,015,854,144/124,379
  6. Step 6: Final answer
    x = 570,963.38

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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.