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Finding the Third Proportional to 81,792 and 168,808.50

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Solution

The third proportional to 81,792 and 168,808.50 is: 348,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,792 : 168,808.50 = 168,808.50 : x
  2. Step 2: Convert to fraction form
    81,792/168,808.50 = 168,808.50/x
  3. Step 3: Cross multiply
    81,792x = 168,808.50 × 168,808.50
  4. Step 4: Simplify right side
    81,792x = 28,496,309,672.25
  5. Step 5: Solve for x
    x = 28,496,309,672.25/81,792
  6. Step 6: Final answer
    x = 348,399.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.