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Finding the Third Proportional to 131,332 and 284,696

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Solution

The third proportional to 131,332 and 284,696 is: 617,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,332 : 284,696 = 284,696 : x
  2. Step 2: Convert to fraction form
    131,332/284,696 = 284,696/x
  3. Step 3: Cross multiply
    131,332x = 284,696 × 284,696
  4. Step 4: Simplify right side
    131,332x = 81,051,812,416
  5. Step 5: Solve for x
    x = 81,051,812,416/131,332
  6. Step 6: Final answer
    x = 617,152.05

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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.