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Finding the Third Proportional to 162,024 and 241,366

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Solution

The third proportional to 162,024 and 241,366 is: 359,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,024 : 241,366 = 241,366 : x
  2. Step 2: Convert to fraction form
    162,024/241,366 = 241,366/x
  3. Step 3: Cross multiply
    162,024x = 241,366 × 241,366
  4. Step 4: Simplify right side
    162,024x = 58,257,545,956
  5. Step 5: Solve for x
    x = 58,257,545,956/162,024
  6. Step 6: Final answer
    x = 359,561.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.