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Finding the Third Proportional to 162,444 and 243,667

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Solution

The third proportional to 162,444 and 243,667 is: 365,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,444 : 243,667 = 243,667 : x
  2. Step 2: Convert to fraction form
    162,444/243,667 = 243,667/x
  3. Step 3: Cross multiply
    162,444x = 243,667 × 243,667
  4. Step 4: Simplify right side
    162,444x = 59,373,606,889
  5. Step 5: Solve for x
    x = 59,373,606,889/162,444
  6. Step 6: Final answer
    x = 365,502.00

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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.