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Finding the Third Proportional to 118,870.50 and 176,340.75

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Solution

The third proportional to 118,870.50 and 176,340.75 is: 261,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,870.50 : 176,340.75 = 176,340.75 : x
  2. Step 2: Convert to fraction form
    118,870.50/176,340.75 = 176,340.75/x
  3. Step 3: Cross multiply
    118,870.50x = 176,340.75 × 176,340.75
  4. Step 4: Simplify right side
    118,870.50x = 31,096,060,110.56
  5. Step 5: Solve for x
    x = 31,096,060,110.56/118,870.50
  6. Step 6: Final answer
    x = 261,596.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.