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Finding the Third Proportional to 169,715 and 353,216

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Solution

The third proportional to 169,715 and 353,216 is: 735,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,715 : 353,216 = 353,216 : x
  2. Step 2: Convert to fraction form
    169,715/353,216 = 353,216/x
  3. Step 3: Cross multiply
    169,715x = 353,216 × 353,216
  4. Step 4: Simplify right side
    169,715x = 124,761,542,656
  5. Step 5: Solve for x
    x = 124,761,542,656/169,715
  6. Step 6: Final answer
    x = 735,123.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.