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Finding the Third Proportional to 162,432 and 254,868

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Solution

The third proportional to 162,432 and 254,868 is: 399,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,432 : 254,868 = 254,868 : x
  2. Step 2: Convert to fraction form
    162,432/254,868 = 254,868/x
  3. Step 3: Cross multiply
    162,432x = 254,868 × 254,868
  4. Step 4: Simplify right side
    162,432x = 64,957,697,424
  5. Step 5: Solve for x
    x = 64,957,697,424/162,432
  6. Step 6: Final answer
    x = 399,907.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.