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Finding the Third Proportional to 242,196 and 363,375

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Solution

The third proportional to 242,196 and 363,375 is: 545,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,196 : 363,375 = 363,375 : x
  2. Step 2: Convert to fraction form
    242,196/363,375 = 363,375/x
  3. Step 3: Cross multiply
    242,196x = 363,375 × 363,375
  4. Step 4: Simplify right side
    242,196x = 132,041,390,625
  5. Step 5: Solve for x
    x = 132,041,390,625/242,196
  6. Step 6: Final answer
    x = 545,184.03

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