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Finding the Third Proportional to 84,341.25 and 181,186.88

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Solution

The third proportional to 84,341.25 and 181,186.88 is: 389,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,341.25 : 181,186.88 = 181,186.88 : x
  2. Step 2: Convert to fraction form
    84,341.25/181,186.88 = 181,186.88/x
  3. Step 3: Cross multiply
    84,341.25x = 181,186.88 × 181,186.88
  4. Step 4: Simplify right side
    84,341.25x = 32,828,683,672.27
  5. Step 5: Solve for x
    x = 32,828,683,672.27/84,341.25
  6. Step 6: Final answer
    x = 389,236.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.