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Finding the Third Proportional to 167,052 and 359,952

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Solution

The third proportional to 167,052 and 359,952 is: 775,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,052 : 359,952 = 359,952 : x
  2. Step 2: Convert to fraction form
    167,052/359,952 = 359,952/x
  3. Step 3: Cross multiply
    167,052x = 359,952 × 359,952
  4. Step 4: Simplify right side
    167,052x = 129,565,442,304
  5. Step 5: Solve for x
    x = 129,565,442,304/167,052
  6. Step 6: Final answer
    x = 775,599.47

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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.