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Finding the Third Proportional to 174,750 and 374,988

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Solution

The third proportional to 174,750 and 374,988 is: 804,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750 : 374,988 = 374,988 : x
  2. Step 2: Convert to fraction form
    174,750/374,988 = 374,988/x
  3. Step 3: Cross multiply
    174,750x = 374,988 × 374,988
  4. Step 4: Simplify right side
    174,750x = 140,616,000,144
  5. Step 5: Solve for x
    x = 140,616,000,144/174,750
  6. Step 6: Final answer
    x = 804,669.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.