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Finding the Third Proportional to 124,366 and 266,462

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Solution

The third proportional to 124,366 and 266,462 is: 570,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,366 : 266,462 = 266,462 : x
  2. Step 2: Convert to fraction form
    124,366/266,462 = 266,462/x
  3. Step 3: Cross multiply
    124,366x = 266,462 × 266,462
  4. Step 4: Simplify right side
    124,366x = 71,001,997,444
  5. Step 5: Solve for x
    x = 71,001,997,444/124,366
  6. Step 6: Final answer
    x = 570,911.64

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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.