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Finding the Third Proportional to 162,461 and 243,692

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Solution

The third proportional to 162,461 and 243,692 is: 365,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,461 : 243,692 = 243,692 : x
  2. Step 2: Convert to fraction form
    162,461/243,692 = 243,692/x
  3. Step 3: Cross multiply
    162,461x = 243,692 × 243,692
  4. Step 4: Simplify right side
    162,461x = 59,385,790,864
  5. Step 5: Solve for x
    x = 59,385,790,864/162,461
  6. Step 6: Final answer
    x = 365,538.75

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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.