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Finding the Third Proportional to 162,462 and 243,693

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Solution

The third proportional to 162,462 and 243,693 is: 365,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,462 : 243,693 = 243,693 : x
  2. Step 2: Convert to fraction form
    162,462/243,693 = 243,693/x
  3. Step 3: Cross multiply
    162,462x = 243,693 × 243,693
  4. Step 4: Simplify right side
    162,462x = 59,386,278,249
  5. Step 5: Solve for x
    x = 59,386,278,249/162,462
  6. Step 6: Final answer
    x = 365,539.50

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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.