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Finding the Third Proportional to 118,199.25 and 176,881.50

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Solution

The third proportional to 118,199.25 and 176,881.50 is: 264,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,199.25 : 176,881.50 = 176,881.50 : x
  2. Step 2: Convert to fraction form
    118,199.25/176,881.50 = 176,881.50/x
  3. Step 3: Cross multiply
    118,199.25x = 176,881.50 × 176,881.50
  4. Step 4: Simplify right side
    118,199.25x = 31,287,065,042.25
  5. Step 5: Solve for x
    x = 31,287,065,042.25/118,199.25
  6. Step 6: Final answer
    x = 264,697.66

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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.