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Finding the Third Proportional to 162,434 and 240,451

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Solution

The third proportional to 162,434 and 240,451 is: 355,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,434 : 240,451 = 240,451 : x
  2. Step 2: Convert to fraction form
    162,434/240,451 = 240,451/x
  3. Step 3: Cross multiply
    162,434x = 240,451 × 240,451
  4. Step 4: Simplify right side
    162,434x = 57,816,683,401
  5. Step 5: Solve for x
    x = 57,816,683,401/162,434
  6. Step 6: Final answer
    x = 355,939.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.