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Finding the Third Proportional to 164,677 and 354,758

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Solution

The third proportional to 164,677 and 354,758 is: 764,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,677 : 354,758 = 354,758 : x
  2. Step 2: Convert to fraction form
    164,677/354,758 = 354,758/x
  3. Step 3: Cross multiply
    164,677x = 354,758 × 354,758
  4. Step 4: Simplify right side
    164,677x = 125,853,238,564
  5. Step 5: Solve for x
    x = 125,853,238,564/164,677
  6. Step 6: Final answer
    x = 764,242.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.