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Finding the Third Proportional to 176,223 and 391,686

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Solution

The third proportional to 176,223 and 391,686 is: 870,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,223 : 391,686 = 391,686 : x
  2. Step 2: Convert to fraction form
    176,223/391,686 = 391,686/x
  3. Step 3: Cross multiply
    176,223x = 391,686 × 391,686
  4. Step 4: Simplify right side
    176,223x = 153,417,922,596
  5. Step 5: Solve for x
    x = 153,417,922,596/176,223
  6. Step 6: Final answer
    x = 870,589.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.