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Finding the Third Proportional to 124,337 and 268,540

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Solution

The third proportional to 124,337 and 268,540 is: 579,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,337 : 268,540 = 268,540 : x
  2. Step 2: Convert to fraction form
    124,337/268,540 = 268,540/x
  3. Step 3: Cross multiply
    124,337x = 268,540 × 268,540
  4. Step 4: Simplify right side
    124,337x = 72,113,731,600
  5. Step 5: Solve for x
    x = 72,113,731,600/124,337
  6. Step 6: Final answer
    x = 579,986.10

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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.