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Finding the Third Proportional to 164,680 and 354,764

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Solution

The third proportional to 164,680 and 354,764 is: 764,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,680 : 354,764 = 354,764 : x
  2. Step 2: Convert to fraction form
    164,680/354,764 = 354,764/x
  3. Step 3: Cross multiply
    164,680x = 354,764 × 354,764
  4. Step 4: Simplify right side
    164,680x = 125,857,495,696
  5. Step 5: Solve for x
    x = 125,857,495,696/164,680
  6. Step 6: Final answer
    x = 764,254.89

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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.