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Finding the Third Proportional to 162,084 and 353,676

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Solution

The third proportional to 162,084 and 353,676 is: 771,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,084 : 353,676 = 353,676 : x
  2. Step 2: Convert to fraction form
    162,084/353,676 = 353,676/x
  3. Step 3: Cross multiply
    162,084x = 353,676 × 353,676
  4. Step 4: Simplify right side
    162,084x = 125,086,712,976
  5. Step 5: Solve for x
    x = 125,086,712,976/162,084
  6. Step 6: Final answer
    x = 771,740.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.