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Finding the Third Proportional to 163,828.13 and 220,192.31

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Solution

The third proportional to 163,828.13 and 220,192.31 is: 295,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,828.13 : 220,192.31 = 220,192.31 : x
  2. Step 2: Convert to fraction form
    163,828.13/220,192.31 = 220,192.31/x
  3. Step 3: Cross multiply
    163,828.13x = 220,192.31 × 220,192.31
  4. Step 4: Simplify right side
    163,828.13x = 48,484,654,484.10
  5. Step 5: Solve for x
    x = 48,484,654,484.10/163,828.13
  6. Step 6: Final answer
    x = 295,948.30

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.