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Finding the Third Proportional to 110,677.50 and 170,343

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Solution

The third proportional to 110,677.50 and 170,343 is: 262,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,677.50 : 170,343 = 170,343 : x
  2. Step 2: Convert to fraction form
    110,677.50/170,343 = 170,343/x
  3. Step 3: Cross multiply
    110,677.50x = 170,343 × 170,343
  4. Step 4: Simplify right side
    110,677.50x = 29,016,737,649
  5. Step 5: Solve for x
    x = 29,016,737,649/110,677.50
  6. Step 6: Final answer
    x = 262,173.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.