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Finding the Third Proportional to 102,390.33 and 160,273.69

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Solution

The third proportional to 102,390.33 and 160,273.69 is: 250,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390.33 : 160,273.69 = 160,273.69 : x
  2. Step 2: Convert to fraction form
    102,390.33/160,273.69 = 160,273.69/x
  3. Step 3: Cross multiply
    102,390.33x = 160,273.69 × 160,273.69
  4. Step 4: Simplify right side
    102,390.33x = 25,687,654,904.85
  5. Step 5: Solve for x
    x = 25,687,654,904.85/102,390.33
  6. Step 6: Final answer
    x = 250,879.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.