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Finding the Third Proportional to 128,306 and 281,398

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Solution

The third proportional to 128,306 and 281,398 is: 617,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,306 : 281,398 = 281,398 : x
  2. Step 2: Convert to fraction form
    128,306/281,398 = 281,398/x
  3. Step 3: Cross multiply
    128,306x = 281,398 × 281,398
  4. Step 4: Simplify right side
    128,306x = 79,184,834,404
  5. Step 5: Solve for x
    x = 79,184,834,404/128,306
  6. Step 6: Final answer
    x = 617,156.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.