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Finding the Third Proportional to 158,016 and 334,620

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Solution

The third proportional to 158,016 and 334,620 is: 708,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,016 : 334,620 = 334,620 : x
  2. Step 2: Convert to fraction form
    158,016/334,620 = 334,620/x
  3. Step 3: Cross multiply
    158,016x = 334,620 × 334,620
  4. Step 4: Simplify right side
    158,016x = 111,970,544,400
  5. Step 5: Solve for x
    x = 111,970,544,400/158,016
  6. Step 6: Final answer
    x = 708,602.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.