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Finding the Third Proportional to 124,371 and 268,398

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Solution

The third proportional to 124,371 and 268,398 is: 579,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,371 : 268,398 = 268,398 : x
  2. Step 2: Convert to fraction form
    124,371/268,398 = 268,398/x
  3. Step 3: Cross multiply
    124,371x = 268,398 × 268,398
  4. Step 4: Simplify right side
    124,371x = 72,037,486,404
  5. Step 5: Solve for x
    x = 72,037,486,404/124,371
  6. Step 6: Final answer
    x = 579,214.50

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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.