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Finding the Third Proportional to 153,229.50 and 214,530.75

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Solution

The third proportional to 153,229.50 and 214,530.75 is: 300,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,229.50 : 214,530.75 = 214,530.75 : x
  2. Step 2: Convert to fraction form
    153,229.50/214,530.75 = 214,530.75/x
  3. Step 3: Cross multiply
    153,229.50x = 214,530.75 × 214,530.75
  4. Step 4: Simplify right side
    153,229.50x = 46,023,442,695.56
  5. Step 5: Solve for x
    x = 46,023,442,695.56/153,229.50
  6. Step 6: Final answer
    x = 300,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.