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Finding the Third Proportional to 69,468 and 151,780.50

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Solution

The third proportional to 69,468 and 151,780.50 is: 331,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,468 : 151,780.50 = 151,780.50 : x
  2. Step 2: Convert to fraction form
    69,468/151,780.50 = 151,780.50/x
  3. Step 3: Cross multiply
    69,468x = 151,780.50 × 151,780.50
  4. Step 4: Simplify right side
    69,468x = 23,037,320,180.25
  5. Step 5: Solve for x
    x = 23,037,320,180.25/69,468
  6. Step 6: Final answer
    x = 331,624.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.