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Finding the Third Proportional to 162,110 and 242,517

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Solution

The third proportional to 162,110 and 242,517 is: 362,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,110 : 242,517 = 242,517 : x
  2. Step 2: Convert to fraction form
    162,110/242,517 = 242,517/x
  3. Step 3: Cross multiply
    162,110x = 242,517 × 242,517
  4. Step 4: Simplify right side
    162,110x = 58,814,495,289
  5. Step 5: Solve for x
    x = 58,814,495,289/162,110
  6. Step 6: Final answer
    x = 362,806.09

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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.