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Finding the Third Proportional to 166,328 and 356,470

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Solution

The third proportional to 166,328 and 356,470 is: 763,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,328 : 356,470 = 356,470 : x
  2. Step 2: Convert to fraction form
    166,328/356,470 = 356,470/x
  3. Step 3: Cross multiply
    166,328x = 356,470 × 356,470
  4. Step 4: Simplify right side
    166,328x = 127,070,860,900
  5. Step 5: Solve for x
    x = 127,070,860,900/166,328
  6. Step 6: Final answer
    x = 763,977.57

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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.