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Finding the Third Proportional to 131,710 and 284,479

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Solution

The third proportional to 131,710 and 284,479 is: 614,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,710 : 284,479 = 284,479 : x
  2. Step 2: Convert to fraction form
    131,710/284,479 = 284,479/x
  3. Step 3: Cross multiply
    131,710x = 284,479 × 284,479
  4. Step 4: Simplify right side
    131,710x = 80,928,301,441
  5. Step 5: Solve for x
    x = 80,928,301,441/131,710
  6. Step 6: Final answer
    x = 614,443.11

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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.