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Finding the Third Proportional to 162,706.22 and 353,399.20

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Solution

The third proportional to 162,706.22 and 353,399.20 is: 767,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,706.22 : 353,399.20 = 353,399.20 : x
  2. Step 2: Convert to fraction form
    162,706.22/353,399.20 = 353,399.20/x
  3. Step 3: Cross multiply
    162,706.22x = 353,399.20 × 353,399.20
  4. Step 4: Simplify right side
    162,706.22x = 124,890,996,769.39
  5. Step 5: Solve for x
    x = 124,890,996,769.39/162,706.22
  6. Step 6: Final answer
    x = 767,585.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.