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Finding the Third Proportional to 79,482 and 168,438

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Solution

The third proportional to 79,482 and 168,438 is: 356,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,482 : 168,438 = 168,438 : x
  2. Step 2: Convert to fraction form
    79,482/168,438 = 168,438/x
  3. Step 3: Cross multiply
    79,482x = 168,438 × 168,438
  4. Step 4: Simplify right side
    79,482x = 28,371,359,844
  5. Step 5: Solve for x
    x = 28,371,359,844/79,482
  6. Step 6: Final answer
    x = 356,953.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.