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Finding the Third Proportional to 131,070 and 284,332

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Solution

The third proportional to 131,070 and 284,332 is: 616,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,070 : 284,332 = 284,332 : x
  2. Step 2: Convert to fraction form
    131,070/284,332 = 284,332/x
  3. Step 3: Cross multiply
    131,070x = 284,332 × 284,332
  4. Step 4: Simplify right side
    131,070x = 80,844,686,224
  5. Step 5: Solve for x
    x = 80,844,686,224/131,070
  6. Step 6: Final answer
    x = 616,805.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.