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Finding the Third Proportional to 173,799.56 and 232,781.34

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Solution

The third proportional to 173,799.56 and 232,781.34 is: 311,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,799.56 : 232,781.34 = 232,781.34 : x
  2. Step 2: Convert to fraction form
    173,799.56/232,781.34 = 232,781.34/x
  3. Step 3: Cross multiply
    173,799.56x = 232,781.34 × 232,781.34
  4. Step 4: Simplify right side
    173,799.56x = 54,187,153,998.06
  5. Step 5: Solve for x
    x = 54,187,153,998.06/173,799.56
  6. Step 6: Final answer
    x = 311,779.58

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Why These Related Problems?

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