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Finding the Third Proportional to 242,202 and 363,384

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Solution

The third proportional to 242,202 and 363,384 is: 545,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,202 : 363,384 = 363,384 : x
  2. Step 2: Convert to fraction form
    242,202/363,384 = 363,384/x
  3. Step 3: Cross multiply
    242,202x = 363,384 × 363,384
  4. Step 4: Simplify right side
    242,202x = 132,047,931,456
  5. Step 5: Solve for x
    x = 132,047,931,456/242,202
  6. Step 6: Final answer
    x = 545,197.53

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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.