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Finding the Third Proportional to 167,460 and 366,408

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Solution

The third proportional to 167,460 and 366,408 is: 801,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,460 : 366,408 = 366,408 : x
  2. Step 2: Convert to fraction form
    167,460/366,408 = 366,408/x
  3. Step 3: Cross multiply
    167,460x = 366,408 × 366,408
  4. Step 4: Simplify right side
    167,460x = 134,254,822,464
  5. Step 5: Solve for x
    x = 134,254,822,464/167,460
  6. Step 6: Final answer
    x = 801,712.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.