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Finding the Third Proportional to 174,672 and 374,274

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Solution

The third proportional to 174,672 and 374,274 is: 801,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672 : 374,274 = 374,274 : x
  2. Step 2: Convert to fraction form
    174,672/374,274 = 374,274/x
  3. Step 3: Cross multiply
    174,672x = 374,274 × 374,274
  4. Step 4: Simplify right side
    174,672x = 140,081,027,076
  5. Step 5: Solve for x
    x = 140,081,027,076/174,672
  6. Step 6: Final answer
    x = 801,966.13

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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.