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Finding the Third Proportional to 131,630.06 and 284,276.25

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Solution

The third proportional to 131,630.06 and 284,276.25 is: 613,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,630.06 : 284,276.25 = 284,276.25 : x
  2. Step 2: Convert to fraction form
    131,630.06/284,276.25 = 284,276.25/x
  3. Step 3: Cross multiply
    131,630.06x = 284,276.25 × 284,276.25
  4. Step 4: Simplify right side
    131,630.06x = 80,812,986,314.06
  5. Step 5: Solve for x
    x = 80,812,986,314.06/131,630.06
  6. Step 6: Final answer
    x = 613,940.20

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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.