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Finding the Third Proportional to 174,690 and 374,310

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Solution

The third proportional to 174,690 and 374,310 is: 802,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,690 : 374,310 = 374,310 : x
  2. Step 2: Convert to fraction form
    174,690/374,310 = 374,310/x
  3. Step 3: Cross multiply
    174,690x = 374,310 × 374,310
  4. Step 4: Simplify right side
    174,690x = 140,107,976,100
  5. Step 5: Solve for x
    x = 140,107,976,100/174,690
  6. Step 6: Final answer
    x = 802,037.76

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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.