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Finding the Third Proportional to 162,020.25 and 253,266.75

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Solution

The third proportional to 162,020.25 and 253,266.75 is: 395,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,020.25 : 253,266.75 = 253,266.75 : x
  2. Step 2: Convert to fraction form
    162,020.25/253,266.75 = 253,266.75/x
  3. Step 3: Cross multiply
    162,020.25x = 253,266.75 × 253,266.75
  4. Step 4: Simplify right side
    162,020.25x = 64,144,046,655.56
  5. Step 5: Solve for x
    x = 64,144,046,655.56/162,020.25
  6. Step 6: Final answer
    x = 395,901.42

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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.