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Finding the Third Proportional to 170,016.47 and 230,079.23

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Solution

The third proportional to 170,016.47 and 230,079.23 is: 311,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,016.47 : 230,079.23 = 230,079.23 : x
  2. Step 2: Convert to fraction form
    170,016.47/230,079.23 = 230,079.23/x
  3. Step 3: Cross multiply
    170,016.47x = 230,079.23 × 230,079.23
  4. Step 4: Simplify right side
    170,016.47x = 52,936,454,090.59
  5. Step 5: Solve for x
    x = 52,936,454,090.59/170,016.47
  6. Step 6: Final answer
    x = 311,360.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.