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Finding the Third Proportional to 137,824.35 and 296,761.22

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Solution

The third proportional to 137,824.35 and 296,761.22 is: 638,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,824.35 : 296,761.22 = 296,761.22 : x
  2. Step 2: Convert to fraction form
    137,824.35/296,761.22 = 296,761.22/x
  3. Step 3: Cross multiply
    137,824.35x = 296,761.22 × 296,761.22
  4. Step 4: Simplify right side
    137,824.35x = 88,067,220,953.99
  5. Step 5: Solve for x
    x = 88,067,220,953.99/137,824.35
  6. Step 6: Final answer
    x = 638,981.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.