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Finding the Third Proportional to 167,064 and 258,572

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Solution

The third proportional to 167,064 and 258,572 is: 400,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,064 : 258,572 = 258,572 : x
  2. Step 2: Convert to fraction form
    167,064/258,572 = 258,572/x
  3. Step 3: Cross multiply
    167,064x = 258,572 × 258,572
  4. Step 4: Simplify right side
    167,064x = 66,859,479,184
  5. Step 5: Solve for x
    x = 66,859,479,184/167,064
  6. Step 6: Final answer
    x = 400,202.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.