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Finding the Third Proportional to 147,813 and 324,241

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Solution

The third proportional to 147,813 and 324,241 is: 711,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,813 : 324,241 = 324,241 : x
  2. Step 2: Convert to fraction form
    147,813/324,241 = 324,241/x
  3. Step 3: Cross multiply
    147,813x = 324,241 × 324,241
  4. Step 4: Simplify right side
    147,813x = 105,132,226,081
  5. Step 5: Solve for x
    x = 105,132,226,081/147,813
  6. Step 6: Final answer
    x = 711,251.55

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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.