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Finding the Third Proportional to 147,672 and 227,259

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Solution

The third proportional to 147,672 and 227,259 is: 349,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,672 : 227,259 = 227,259 : x
  2. Step 2: Convert to fraction form
    147,672/227,259 = 227,259/x
  3. Step 3: Cross multiply
    147,672x = 227,259 × 227,259
  4. Step 4: Simplify right side
    147,672x = 51,646,653,081
  5. Step 5: Solve for x
    x = 51,646,653,081/147,672
  6. Step 6: Final answer
    x = 349,738.97

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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.