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Finding the Third Proportional to 145,691.50 and 225,006

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Solution

The third proportional to 145,691.50 and 225,006 is: 347,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,691.50 : 225,006 = 225,006 : x
  2. Step 2: Convert to fraction form
    145,691.50/225,006 = 225,006/x
  3. Step 3: Cross multiply
    145,691.50x = 225,006 × 225,006
  4. Step 4: Simplify right side
    145,691.50x = 50,627,700,036
  5. Step 5: Solve for x
    x = 50,627,700,036/145,691.50
  6. Step 6: Final answer
    x = 347,499.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.