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Finding the Third Proportional to 243,184 and 363,800

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Solution

The third proportional to 243,184 and 363,800 is: 544,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,184 : 363,800 = 363,800 : x
  2. Step 2: Convert to fraction form
    243,184/363,800 = 363,800/x
  3. Step 3: Cross multiply
    243,184x = 363,800 × 363,800
  4. Step 4: Simplify right side
    243,184x = 132,350,440,000
  5. Step 5: Solve for x
    x = 132,350,440,000/243,184
  6. Step 6: Final answer
    x = 544,239.92

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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.