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Finding the Third Proportional to 174,699 and 374,328

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Solution

The third proportional to 174,699 and 374,328 is: 802,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,699 : 374,328 = 374,328 : x
  2. Step 2: Convert to fraction form
    174,699/374,328 = 374,328/x
  3. Step 3: Cross multiply
    174,699x = 374,328 × 374,328
  4. Step 4: Simplify right side
    174,699x = 140,121,451,584
  5. Step 5: Solve for x
    x = 140,121,451,584/174,699
  6. Step 6: Final answer
    x = 802,073.58

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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.