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Finding the Third Proportional to 148,726.13 and 223,418.25

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Solution

The third proportional to 148,726.13 and 223,418.25 is: 335,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,726.13 : 223,418.25 = 223,418.25 : x
  2. Step 2: Convert to fraction form
    148,726.13/223,418.25 = 223,418.25/x
  3. Step 3: Cross multiply
    148,726.13x = 223,418.25 × 223,418.25
  4. Step 4: Simplify right side
    148,726.13x = 49,915,714,433.06
  5. Step 5: Solve for x
    x = 49,915,714,433.06/148,726.13
  6. Step 6: Final answer
    x = 335,621.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.