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Finding the Third Proportional to 162,774.50 and 252,008.75

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Solution

The third proportional to 162,774.50 and 252,008.75 is: 390,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,774.50 : 252,008.75 = 252,008.75 : x
  2. Step 2: Convert to fraction form
    162,774.50/252,008.75 = 252,008.75/x
  3. Step 3: Cross multiply
    162,774.50x = 252,008.75 × 252,008.75
  4. Step 4: Simplify right side
    162,774.50x = 63,508,410,076.56
  5. Step 5: Solve for x
    x = 63,508,410,076.56/162,774.50
  6. Step 6: Final answer
    x = 390,161.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.