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Finding the Third Proportional to 162,802.13 and 254,620.69

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Solution

The third proportional to 162,802.13 and 254,620.69 is: 398,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,802.13 : 254,620.69 = 254,620.69 : x
  2. Step 2: Convert to fraction form
    162,802.13/254,620.69 = 254,620.69/x
  3. Step 3: Cross multiply
    162,802.13x = 254,620.69 × 254,620.69
  4. Step 4: Simplify right side
    162,802.13x = 64,831,694,502.97
  5. Step 5: Solve for x
    x = 64,831,694,502.97/162,802.13
  6. Step 6: Final answer
    x = 398,223.88

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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.