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Finding the Third Proportional to 215,726.25 and 337,673.25

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Solution

The third proportional to 215,726.25 and 337,673.25 is: 528,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,726.25 : 337,673.25 = 337,673.25 : x
  2. Step 2: Convert to fraction form
    215,726.25/337,673.25 = 337,673.25/x
  3. Step 3: Cross multiply
    215,726.25x = 337,673.25 × 337,673.25
  4. Step 4: Simplify right side
    215,726.25x = 114,023,223,765.56
  5. Step 5: Solve for x
    x = 114,023,223,765.56/215,726.25
  6. Step 6: Final answer
    x = 528,555.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.