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Finding the Third Proportional to 169,714.62 and 353,371.36

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Solution

The third proportional to 169,714.62 and 353,371.36 is: 735,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,714.62 : 353,371.36 = 353,371.36 : x
  2. Step 2: Convert to fraction form
    169,714.62/353,371.36 = 353,371.36/x
  3. Step 3: Cross multiply
    169,714.62x = 353,371.36 × 353,371.36
  4. Step 4: Simplify right side
    169,714.62x = 124,871,317,626.54
  5. Step 5: Solve for x
    x = 124,871,317,626.54/169,714.62
  6. Step 6: Final answer
    x = 735,772.32

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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.