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Finding the Third Proportional to 169,856 and 353,654

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Solution

The third proportional to 169,856 and 353,654 is: 736,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,856 : 353,654 = 353,654 : x
  2. Step 2: Convert to fraction form
    169,856/353,654 = 353,654/x
  3. Step 3: Cross multiply
    169,856x = 353,654 × 353,654
  4. Step 4: Simplify right side
    169,856x = 125,071,151,716
  5. Step 5: Solve for x
    x = 125,071,151,716/169,856
  6. Step 6: Final answer
    x = 736,336.38

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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.