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Finding the Third Proportional to 173,029.50 and 261,851.06

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Solution

The third proportional to 173,029.50 and 261,851.06 is: 396,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,029.50 : 261,851.06 = 261,851.06 : x
  2. Step 2: Convert to fraction form
    173,029.50/261,851.06 = 261,851.06/x
  3. Step 3: Cross multiply
    173,029.50x = 261,851.06 × 261,851.06
  4. Step 4: Simplify right side
    173,029.50x = 68,565,978,932.38
  5. Step 5: Solve for x
    x = 68,565,978,932.38/173,029.50
  6. Step 6: Final answer
    x = 396,267.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.