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Finding the Third Proportional to 174,725 and 374,380

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Solution

The third proportional to 174,725 and 374,380 is: 802,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,725 : 374,380 = 374,380 : x
  2. Step 2: Convert to fraction form
    174,725/374,380 = 374,380/x
  3. Step 3: Cross multiply
    174,725x = 374,380 × 374,380
  4. Step 4: Simplify right side
    174,725x = 140,160,384,400
  5. Step 5: Solve for x
    x = 140,160,384,400/174,725
  6. Step 6: Final answer
    x = 802,177.05

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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.