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Finding the Third Proportional to 148,748 and 326,884

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Solution

The third proportional to 148,748 and 326,884 is: 718,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,748 : 326,884 = 326,884 : x
  2. Step 2: Convert to fraction form
    148,748/326,884 = 326,884/x
  3. Step 3: Cross multiply
    148,748x = 326,884 × 326,884
  4. Step 4: Simplify right side
    148,748x = 106,853,149,456
  5. Step 5: Solve for x
    x = 106,853,149,456/148,748
  6. Step 6: Final answer
    x = 718,350.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.