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Finding the Third Proportional to 185,876 and 272,332

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Solution

The third proportional to 185,876 and 272,332 is: 399,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,876 : 272,332 = 272,332 : x
  2. Step 2: Convert to fraction form
    185,876/272,332 = 272,332/x
  3. Step 3: Cross multiply
    185,876x = 272,332 × 272,332
  4. Step 4: Simplify right side
    185,876x = 74,164,718,224
  5. Step 5: Solve for x
    x = 74,164,718,224/185,876
  6. Step 6: Final answer
    x = 399,001.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.