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Finding the Third Proportional to 173,296.97 and 231,799.22

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Solution

The third proportional to 173,296.97 and 231,799.22 is: 310,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,296.97 : 231,799.22 = 231,799.22 : x
  2. Step 2: Convert to fraction form
    173,296.97/231,799.22 = 231,799.22/x
  3. Step 3: Cross multiply
    173,296.97x = 231,799.22 × 231,799.22
  4. Step 4: Simplify right side
    173,296.97x = 53,730,877,813.11
  5. Step 5: Solve for x
    x = 53,730,877,813.11/173,296.97
  6. Step 6: Final answer
    x = 310,050.88

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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.