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Finding the Third Proportional to 162,916.50 and 252,257.25

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Solution

The third proportional to 162,916.50 and 252,257.25 is: 390,591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,916.50 : 252,257.25 = 252,257.25 : x
  2. Step 2: Convert to fraction form
    162,916.50/252,257.25 = 252,257.25/x
  3. Step 3: Cross multiply
    162,916.50x = 252,257.25 × 252,257.25
  4. Step 4: Simplify right side
    162,916.50x = 63,633,720,177.56
  5. Step 5: Solve for x
    x = 63,633,720,177.56/162,916.50
  6. Step 6: Final answer
    x = 390,591.01

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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.