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Finding the Third Proportional to 180,335 and 391,774

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Solution

The third proportional to 180,335 and 391,774 is: 851,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,335 : 391,774 = 391,774 : x
  2. Step 2: Convert to fraction form
    180,335/391,774 = 391,774/x
  3. Step 3: Cross multiply
    180,335x = 391,774 × 391,774
  4. Step 4: Simplify right side
    180,335x = 153,486,867,076
  5. Step 5: Solve for x
    x = 153,486,867,076/180,335
  6. Step 6: Final answer
    x = 851,120.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.