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Finding the Third Proportional to 83,208 and 170,304

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Solution

The third proportional to 83,208 and 170,304 is: 348,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,208 : 170,304 = 170,304 : x
  2. Step 2: Convert to fraction form
    83,208/170,304 = 170,304/x
  3. Step 3: Cross multiply
    83,208x = 170,304 × 170,304
  4. Step 4: Simplify right side
    83,208x = 29,003,452,416
  5. Step 5: Solve for x
    x = 29,003,452,416/83,208
  6. Step 6: Final answer
    x = 348,565.67

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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.