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Finding the Third Proportional to 162,794 and 254,609

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Solution

The third proportional to 162,794 and 254,609 is: 398,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,794 : 254,609 = 254,609 : x
  2. Step 2: Convert to fraction form
    162,794/254,609 = 254,609/x
  3. Step 3: Cross multiply
    162,794x = 254,609 × 254,609
  4. Step 4: Simplify right side
    162,794x = 64,825,742,881
  5. Step 5: Solve for x
    x = 64,825,742,881/162,794
  6. Step 6: Final answer
    x = 398,207.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.