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Finding the Third Proportional to 165,871 and 250,180

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Solution

The third proportional to 165,871 and 250,180 is: 377,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,871 : 250,180 = 250,180 : x
  2. Step 2: Convert to fraction form
    165,871/250,180 = 250,180/x
  3. Step 3: Cross multiply
    165,871x = 250,180 × 250,180
  4. Step 4: Simplify right side
    165,871x = 62,590,032,400
  5. Step 5: Solve for x
    x = 62,590,032,400/165,871
  6. Step 6: Final answer
    x = 377,341.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.