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Finding the Third Proportional to 179,769 and 391,236

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Solution

The third proportional to 179,769 and 391,236 is: 851,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,769 : 391,236 = 391,236 : x
  2. Step 2: Convert to fraction form
    179,769/391,236 = 391,236/x
  3. Step 3: Cross multiply
    179,769x = 391,236 × 391,236
  4. Step 4: Simplify right side
    179,769x = 153,065,607,696
  5. Step 5: Solve for x
    x = 153,065,607,696/179,769
  6. Step 6: Final answer
    x = 851,457.19

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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.