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Finding the Third Proportional to 167,571 and 359,129.25

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Solution

The third proportional to 167,571 and 359,129.25 is: 769,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,571 : 359,129.25 = 359,129.25 : x
  2. Step 2: Convert to fraction form
    167,571/359,129.25 = 359,129.25/x
  3. Step 3: Cross multiply
    167,571x = 359,129.25 × 359,129.25
  4. Step 4: Simplify right side
    167,571x = 128,973,818,205.56
  5. Step 5: Solve for x
    x = 128,973,818,205.56/167,571
  6. Step 6: Final answer
    x = 769,666.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.