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Finding the Third Proportional to 162,454 and 243,682

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Solution

The third proportional to 162,454 and 243,682 is: 365,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,454 : 243,682 = 243,682 : x
  2. Step 2: Convert to fraction form
    162,454/243,682 = 243,682/x
  3. Step 3: Cross multiply
    162,454x = 243,682 × 243,682
  4. Step 4: Simplify right side
    162,454x = 59,380,917,124
  5. Step 5: Solve for x
    x = 59,380,917,124/162,454
  6. Step 6: Final answer
    x = 365,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.