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Finding the Third Proportional to 170,769 and 246,712.50

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Solution

The third proportional to 170,769 and 246,712.50 is: 356,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,769 : 246,712.50 = 246,712.50 : x
  2. Step 2: Convert to fraction form
    170,769/246,712.50 = 246,712.50/x
  3. Step 3: Cross multiply
    170,769x = 246,712.50 × 246,712.50
  4. Step 4: Simplify right side
    170,769x = 60,867,057,656.25
  5. Step 5: Solve for x
    x = 60,867,057,656.25/170,769
  6. Step 6: Final answer
    x = 356,429.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.