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Finding the Third Proportional to 149,726.25 and 220,209.75

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Solution

The third proportional to 149,726.25 and 220,209.75 is: 323,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726.25 : 220,209.75 = 220,209.75 : x
  2. Step 2: Convert to fraction form
    149,726.25/220,209.75 = 220,209.75/x
  3. Step 3: Cross multiply
    149,726.25x = 220,209.75 × 220,209.75
  4. Step 4: Simplify right side
    149,726.25x = 48,492,333,995.06
  5. Step 5: Solve for x
    x = 48,492,333,995.06/149,726.25
  6. Step 6: Final answer
    x = 323,873.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.