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Finding the Third Proportional to 165,942 and 247,833

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Solution

The third proportional to 165,942 and 247,833 is: 370,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,942 : 247,833 = 247,833 : x
  2. Step 2: Convert to fraction form
    165,942/247,833 = 247,833/x
  3. Step 3: Cross multiply
    165,942x = 247,833 × 247,833
  4. Step 4: Simplify right side
    165,942x = 61,421,195,889
  5. Step 5: Solve for x
    x = 61,421,195,889/165,942
  6. Step 6: Final answer
    x = 370,136.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.