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Finding the Third Proportional to 69,202.50 and 151,329

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Solution

The third proportional to 69,202.50 and 151,329 is: 330,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202.50 : 151,329 = 151,329 : x
  2. Step 2: Convert to fraction form
    69,202.50/151,329 = 151,329/x
  3. Step 3: Cross multiply
    69,202.50x = 151,329 × 151,329
  4. Step 4: Simplify right side
    69,202.50x = 22,900,466,241
  5. Step 5: Solve for x
    x = 22,900,466,241/69,202.50
  6. Step 6: Final answer
    x = 330,919.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.