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Finding the Third Proportional to 124,470 and 268,704

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Solution

The third proportional to 124,470 and 268,704 is: 580,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,470 : 268,704 = 268,704 : x
  2. Step 2: Convert to fraction form
    124,470/268,704 = 268,704/x
  3. Step 3: Cross multiply
    124,470x = 268,704 × 268,704
  4. Step 4: Simplify right side
    124,470x = 72,201,839,616
  5. Step 5: Solve for x
    x = 72,201,839,616/124,470
  6. Step 6: Final answer
    x = 580,074.23

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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.