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Finding the Third Proportional to 242,190 and 363,366

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Solution

The third proportional to 242,190 and 363,366 is: 545,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,190 : 363,366 = 363,366 : x
  2. Step 2: Convert to fraction form
    242,190/363,366 = 363,366/x
  3. Step 3: Cross multiply
    242,190x = 363,366 × 363,366
  4. Step 4: Simplify right side
    242,190x = 132,034,849,956
  5. Step 5: Solve for x
    x = 132,034,849,956/242,190
  6. Step 6: Final answer
    x = 545,170.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.