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Finding the Third Proportional to 174,770 and 374,446

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Solution

The third proportional to 174,770 and 374,446 is: 802,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,770 : 374,446 = 374,446 : x
  2. Step 2: Convert to fraction form
    174,770/374,446 = 374,446/x
  3. Step 3: Cross multiply
    174,770x = 374,446 × 374,446
  4. Step 4: Simplify right side
    174,770x = 140,209,806,916
  5. Step 5: Solve for x
    x = 140,209,806,916/174,770
  6. Step 6: Final answer
    x = 802,253.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.