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Finding the Third Proportional to 124,476 and 268,716

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Solution

The third proportional to 124,476 and 268,716 is: 580,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,476 : 268,716 = 268,716 : x
  2. Step 2: Convert to fraction form
    124,476/268,716 = 268,716/x
  3. Step 3: Cross multiply
    124,476x = 268,716 × 268,716
  4. Step 4: Simplify right side
    124,476x = 72,208,288,656
  5. Step 5: Solve for x
    x = 72,208,288,656/124,476
  6. Step 6: Final answer
    x = 580,098.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.