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Finding the Third Proportional to 113,566.50 and 176,346.56

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Solution

The third proportional to 113,566.50 and 176,346.56 is: 273,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,566.50 : 176,346.56 = 176,346.56 : x
  2. Step 2: Convert to fraction form
    113,566.50/176,346.56 = 176,346.56/x
  3. Step 3: Cross multiply
    113,566.50x = 176,346.56 × 176,346.56
  4. Step 4: Simplify right side
    113,566.50x = 31,098,110,105.57
  5. Step 5: Solve for x
    x = 31,098,110,105.57/113,566.50
  6. Step 6: Final answer
    x = 273,831.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.