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Finding the Third Proportional to 162,785 and 252,025

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Solution

The third proportional to 162,785 and 252,025 is: 390,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,785 : 252,025 = 252,025 : x
  2. Step 2: Convert to fraction form
    162,785/252,025 = 252,025/x
  3. Step 3: Cross multiply
    162,785x = 252,025 × 252,025
  4. Step 4: Simplify right side
    162,785x = 63,516,600,625
  5. Step 5: Solve for x
    x = 63,516,600,625/162,785
  6. Step 6: Final answer
    x = 390,187.06

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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.