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Finding the Third Proportional to 162,434 and 243,651

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Solution

The third proportional to 162,434 and 243,651 is: 365,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,434 : 243,651 = 243,651 : x
  2. Step 2: Convert to fraction form
    162,434/243,651 = 243,651/x
  3. Step 3: Cross multiply
    162,434x = 243,651 × 243,651
  4. Step 4: Simplify right side
    162,434x = 59,365,809,801
  5. Step 5: Solve for x
    x = 59,365,809,801/162,434
  6. Step 6: Final answer
    x = 365,476.50

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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.