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Finding the Third Proportional to 232,284 and 327,117

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Solution

The third proportional to 232,284 and 327,117 is: 460,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,284 : 327,117 = 327,117 : x
  2. Step 2: Convert to fraction form
    232,284/327,117 = 327,117/x
  3. Step 3: Cross multiply
    232,284x = 327,117 × 327,117
  4. Step 4: Simplify right side
    232,284x = 107,005,531,689
  5. Step 5: Solve for x
    x = 107,005,531,689/232,284
  6. Step 6: Final answer
    x = 460,666.82

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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.