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Finding the Third Proportional to 175,014 and 374,812

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Solution

The third proportional to 175,014 and 374,812 is: 802,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,014 : 374,812 = 374,812 : x
  2. Step 2: Convert to fraction form
    175,014/374,812 = 374,812/x
  3. Step 3: Cross multiply
    175,014x = 374,812 × 374,812
  4. Step 4: Simplify right side
    175,014x = 140,484,035,344
  5. Step 5: Solve for x
    x = 140,484,035,344/175,014
  6. Step 6: Final answer
    x = 802,701.70

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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.