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Finding the Third Proportional to 162,433.13 and 243,649.69

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Solution

The third proportional to 162,433.13 and 243,649.69 is: 365,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,433.13 : 243,649.69 = 243,649.69 : x
  2. Step 2: Convert to fraction form
    162,433.13/243,649.69 = 243,649.69/x
  3. Step 3: Cross multiply
    162,433.13x = 243,649.69 × 243,649.69
  4. Step 4: Simplify right side
    162,433.13x = 59,365,170,218.85
  5. Step 5: Solve for x
    x = 59,365,170,218.85/162,433.13
  6. Step 6: Final answer
    x = 365,474.53

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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.