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Finding the Third Proportional to 131,630.06 and 284,259.38

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Solution

The third proportional to 131,630.06 and 284,259.38 is: 613,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,630.06 : 284,259.38 = 284,259.38 : x
  2. Step 2: Convert to fraction form
    131,630.06/284,259.38 = 284,259.38/x
  3. Step 3: Cross multiply
    131,630.06x = 284,259.38 × 284,259.38
  4. Step 4: Simplify right side
    131,630.06x = 80,803,392,275.39
  5. Step 5: Solve for x
    x = 80,803,392,275.39/131,630.06
  6. Step 6: Final answer
    x = 613,867.31

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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.