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Finding the Third Proportional to 83,482 and 170,804

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Solution

The third proportional to 83,482 and 170,804 is: 349,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,482 : 170,804 = 170,804 : x
  2. Step 2: Convert to fraction form
    83,482/170,804 = 170,804/x
  3. Step 3: Cross multiply
    83,482x = 170,804 × 170,804
  4. Step 4: Simplify right side
    83,482x = 29,174,006,416
  5. Step 5: Solve for x
    x = 29,174,006,416/83,482
  6. Step 6: Final answer
    x = 349,464.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.