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Finding the Third Proportional to 165,024 and 247,968

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Solution

The third proportional to 165,024 and 247,968 is: 372,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,024 : 247,968 = 247,968 : x
  2. Step 2: Convert to fraction form
    165,024/247,968 = 247,968/x
  3. Step 3: Cross multiply
    165,024x = 247,968 × 247,968
  4. Step 4: Simplify right side
    165,024x = 61,488,129,024
  5. Step 5: Solve for x
    x = 61,488,129,024/165,024
  6. Step 6: Final answer
    x = 372,601.13

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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.