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Finding the Third Proportional to 232,292 and 327,124

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Solution

The third proportional to 232,292 and 327,124 is: 460,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,292 : 327,124 = 327,124 : x
  2. Step 2: Convert to fraction form
    232,292/327,124 = 327,124/x
  3. Step 3: Cross multiply
    232,292x = 327,124 × 327,124
  4. Step 4: Simplify right side
    232,292x = 107,010,111,376
  5. Step 5: Solve for x
    x = 107,010,111,376/232,292
  6. Step 6: Final answer
    x = 460,670.67

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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.