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Finding the Third Proportional to 131,964 and 284,760

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Solution

The third proportional to 131,964 and 284,760 is: 614,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,964 : 284,760 = 284,760 : x
  2. Step 2: Convert to fraction form
    131,964/284,760 = 284,760/x
  3. Step 3: Cross multiply
    131,964x = 284,760 × 284,760
  4. Step 4: Simplify right side
    131,964x = 81,088,257,600
  5. Step 5: Solve for x
    x = 81,088,257,600/131,964
  6. Step 6: Final answer
    x = 614,472.57

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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.