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Finding the Third Proportional to 148,182 and 324,471

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Solution

The third proportional to 148,182 and 324,471 is: 710,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,182 : 324,471 = 324,471 : x
  2. Step 2: Convert to fraction form
    148,182/324,471 = 324,471/x
  3. Step 3: Cross multiply
    148,182x = 324,471 × 324,471
  4. Step 4: Simplify right side
    148,182x = 105,281,429,841
  5. Step 5: Solve for x
    x = 105,281,429,841/148,182
  6. Step 6: Final answer
    x = 710,487.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.