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Finding the Third Proportional to 147,864 and 227,280

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Solution

The third proportional to 147,864 and 227,280 is: 349,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,864 : 227,280 = 227,280 : x
  2. Step 2: Convert to fraction form
    147,864/227,280 = 227,280/x
  3. Step 3: Cross multiply
    147,864x = 227,280 × 227,280
  4. Step 4: Simplify right side
    147,864x = 51,656,198,400
  5. Step 5: Solve for x
    x = 51,656,198,400/147,864
  6. Step 6: Final answer
    x = 349,349.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.