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Finding the Third Proportional to 117,543.75 and 176,314.50

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Solution

The third proportional to 117,543.75 and 176,314.50 is: 264,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543.75 : 176,314.50 = 176,314.50 : x
  2. Step 2: Convert to fraction form
    117,543.75/176,314.50 = 176,314.50/x
  3. Step 3: Cross multiply
    117,543.75x = 176,314.50 × 176,314.50
  4. Step 4: Simplify right side
    117,543.75x = 31,086,802,910.25
  5. Step 5: Solve for x
    x = 31,086,802,910.25/117,543.75
  6. Step 6: Final answer
    x = 264,470.06

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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.