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Finding the Third Proportional to 147,017.25 and 219,944.25

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Solution

The third proportional to 147,017.25 and 219,944.25 is: 329,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,017.25 : 219,944.25 = 219,944.25 : x
  2. Step 2: Convert to fraction form
    147,017.25/219,944.25 = 219,944.25/x
  3. Step 3: Cross multiply
    147,017.25x = 219,944.25 × 219,944.25
  4. Step 4: Simplify right side
    147,017.25x = 48,375,473,108.06
  5. Step 5: Solve for x
    x = 48,375,473,108.06/147,017.25
  6. Step 6: Final answer
    x = 329,046.24

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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.