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Finding the Third Proportional to 179,764 and 391,702

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Solution

The third proportional to 179,764 and 391,702 is: 853,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,764 : 391,702 = 391,702 : x
  2. Step 2: Convert to fraction form
    179,764/391,702 = 391,702/x
  3. Step 3: Cross multiply
    179,764x = 391,702 × 391,702
  4. Step 4: Simplify right side
    179,764x = 153,430,456,804
  5. Step 5: Solve for x
    x = 153,430,456,804/179,764
  6. Step 6: Final answer
    x = 853,510.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.