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Finding the Third Proportional to 167,952 and 260,040.75

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Solution

The third proportional to 167,952 and 260,040.75 is: 402,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,952 : 260,040.75 = 260,040.75 : x
  2. Step 2: Convert to fraction form
    167,952/260,040.75 = 260,040.75/x
  3. Step 3: Cross multiply
    167,952x = 260,040.75 × 260,040.75
  4. Step 4: Simplify right side
    167,952x = 67,621,191,660.56
  5. Step 5: Solve for x
    x = 67,621,191,660.56/167,952
  6. Step 6: Final answer
    x = 402,622.13

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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.