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Finding the Third Proportional to 167,871 and 360,588

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Solution

The third proportional to 167,871 and 360,588 is: 774,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,871 : 360,588 = 360,588 : x
  2. Step 2: Convert to fraction form
    167,871/360,588 = 360,588/x
  3. Step 3: Cross multiply
    167,871x = 360,588 × 360,588
  4. Step 4: Simplify right side
    167,871x = 130,023,705,744
  5. Step 5: Solve for x
    x = 130,023,705,744/167,871
  6. Step 6: Final answer
    x = 774,545.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.