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Finding the Third Proportional to 179,202 and 391,004

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Solution

The third proportional to 179,202 and 391,004 is: 853,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,202 : 391,004 = 391,004 : x
  2. Step 2: Convert to fraction form
    179,202/391,004 = 391,004/x
  3. Step 3: Cross multiply
    179,202x = 391,004 × 391,004
  4. Step 4: Simplify right side
    179,202x = 152,884,128,016
  5. Step 5: Solve for x
    x = 152,884,128,016/179,202
  6. Step 6: Final answer
    x = 853,138.51

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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.