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Finding the Third Proportional to 141,754 and 308,414

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Solution

The third proportional to 141,754 and 308,414 is: 671,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,754 : 308,414 = 308,414 : x
  2. Step 2: Convert to fraction form
    141,754/308,414 = 308,414/x
  3. Step 3: Cross multiply
    141,754x = 308,414 × 308,414
  4. Step 4: Simplify right side
    141,754x = 95,119,195,396
  5. Step 5: Solve for x
    x = 95,119,195,396/141,754
  6. Step 6: Final answer
    x = 671,015.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.