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Finding the Third Proportional to 180,334 and 391,770

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Solution

The third proportional to 180,334 and 391,770 is: 851,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,334 : 391,770 = 391,770 : x
  2. Step 2: Convert to fraction form
    180,334/391,770 = 391,770/x
  3. Step 3: Cross multiply
    180,334x = 391,770 × 391,770
  4. Step 4: Simplify right side
    180,334x = 153,483,732,900
  5. Step 5: Solve for x
    x = 153,483,732,900/180,334
  6. Step 6: Final answer
    x = 851,108.13

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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.