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Finding the Third Proportional to 124,666 and 268,340

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Solution

The third proportional to 124,666 and 268,340 is: 577,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,666 : 268,340 = 268,340 : x
  2. Step 2: Convert to fraction form
    124,666/268,340 = 268,340/x
  3. Step 3: Cross multiply
    124,666x = 268,340 × 268,340
  4. Step 4: Simplify right side
    124,666x = 72,006,355,600
  5. Step 5: Solve for x
    x = 72,006,355,600/124,666
  6. Step 6: Final answer
    x = 577,594.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.