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Finding the Third Proportional to 153,014.50 and 331,439

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Solution

The third proportional to 153,014.50 and 331,439 is: 717,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,014.50 : 331,439 = 331,439 : x
  2. Step 2: Convert to fraction form
    153,014.50/331,439 = 331,439/x
  3. Step 3: Cross multiply
    153,014.50x = 331,439 × 331,439
  4. Step 4: Simplify right side
    153,014.50x = 109,851,810,721
  5. Step 5: Solve for x
    x = 109,851,810,721/153,014.50
  6. Step 6: Final answer
    x = 717,917.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.