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Finding the Third Proportional to 162,784 and 252,023

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Solution

The third proportional to 162,784 and 252,023 is: 390,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,784 : 252,023 = 252,023 : x
  2. Step 2: Convert to fraction form
    162,784/252,023 = 252,023/x
  3. Step 3: Cross multiply
    162,784x = 252,023 × 252,023
  4. Step 4: Simplify right side
    162,784x = 63,515,592,529
  5. Step 5: Solve for x
    x = 63,515,592,529/162,784
  6. Step 6: Final answer
    x = 390,183.26

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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.