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Finding the Third Proportional to 148,559 and 325,189

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Solution

The third proportional to 148,559 and 325,189 is: 711,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,559 : 325,189 = 325,189 : x
  2. Step 2: Convert to fraction form
    148,559/325,189 = 325,189/x
  3. Step 3: Cross multiply
    148,559x = 325,189 × 325,189
  4. Step 4: Simplify right side
    148,559x = 105,747,885,721
  5. Step 5: Solve for x
    x = 105,747,885,721/148,559
  6. Step 6: Final answer
    x = 711,824.16

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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.