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Finding the Third Proportional to 118,194.19 and 177,412.78

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Solution

The third proportional to 118,194.19 and 177,412.78 is: 266,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,194.19 : 177,412.78 = 177,412.78 : x
  2. Step 2: Convert to fraction form
    118,194.19/177,412.78 = 177,412.78/x
  3. Step 3: Cross multiply
    118,194.19x = 177,412.78 × 177,412.78
  4. Step 4: Simplify right side
    118,194.19x = 31,475,294,950.86
  5. Step 5: Solve for x
    x = 31,475,294,950.86/118,194.19
  6. Step 6: Final answer
    x = 266,301.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.