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Finding the Third Proportional to 117,234.84 and 181,645.03

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Solution

The third proportional to 117,234.84 and 181,645.03 is: 281,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,234.84 : 181,645.03 = 181,645.03 : x
  2. Step 2: Convert to fraction form
    117,234.84/181,645.03 = 181,645.03/x
  3. Step 3: Cross multiply
    117,234.84x = 181,645.03 × 181,645.03
  4. Step 4: Simplify right side
    117,234.84x = 32,994,917,377.81
  5. Step 5: Solve for x
    x = 32,994,917,377.81/117,234.84
  6. Step 6: Final answer
    x = 281,442.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.