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Finding the Third Proportional to 168,705 and 356,374.13

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Solution

The third proportional to 168,705 and 356,374.13 is: 752,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,705 : 356,374.13 = 356,374.13 : x
  2. Step 2: Convert to fraction form
    168,705/356,374.13 = 356,374.13/x
  3. Step 3: Cross multiply
    168,705x = 356,374.13 × 356,374.13
  4. Step 4: Simplify right side
    168,705x = 127,002,516,969.52
  5. Step 5: Solve for x
    x = 127,002,516,969.52/168,705
  6. Step 6: Final answer
    x = 752,808.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.