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Finding the Third Proportional to 174,680 and 374,284

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Solution

The third proportional to 174,680 and 374,284 is: 801,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,680 : 374,284 = 374,284 : x
  2. Step 2: Convert to fraction form
    174,680/374,284 = 374,284/x
  3. Step 3: Cross multiply
    174,680x = 374,284 × 374,284
  4. Step 4: Simplify right side
    174,680x = 140,088,512,656
  5. Step 5: Solve for x
    x = 140,088,512,656/174,680
  6. Step 6: Final answer
    x = 801,972.25

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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.