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Finding the Third Proportional to 187,091.44 and 288,658.69

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Solution

The third proportional to 187,091.44 and 288,658.69 is: 445,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,091.44 : 288,658.69 = 288,658.69 : x
  2. Step 2: Convert to fraction form
    187,091.44/288,658.69 = 288,658.69/x
  3. Step 3: Cross multiply
    187,091.44x = 288,658.69 × 288,658.69
  4. Step 4: Simplify right side
    187,091.44x = 83,323,837,869.22
  5. Step 5: Solve for x
    x = 83,323,837,869.22/187,091.44
  6. Step 6: Final answer
    x = 445,364.25

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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.