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Finding the Third Proportional to 232,294 and 327,127

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Solution

The third proportional to 232,294 and 327,127 is: 460,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,294 : 327,127 = 327,127 : x
  2. Step 2: Convert to fraction form
    232,294/327,127 = 327,127/x
  3. Step 3: Cross multiply
    232,294x = 327,127 × 327,127
  4. Step 4: Simplify right side
    232,294x = 107,012,074,129
  5. Step 5: Solve for x
    x = 107,012,074,129/232,294
  6. Step 6: Final answer
    x = 460,675.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.