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Finding the Third Proportional to 161,460 and 242,244

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Solution

The third proportional to 161,460 and 242,244 is: 363,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,460 : 242,244 = 242,244 : x
  2. Step 2: Convert to fraction form
    161,460/242,244 = 242,244/x
  3. Step 3: Cross multiply
    161,460x = 242,244 × 242,244
  4. Step 4: Simplify right side
    161,460x = 58,682,155,536
  5. Step 5: Solve for x
    x = 58,682,155,536/161,460
  6. Step 6: Final answer
    x = 363,447.02

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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.