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Finding the Third Proportional to 76,807 and 158,940

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Solution

The third proportional to 76,807 and 158,940 is: 328,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807 : 158,940 = 158,940 : x
  2. Step 2: Convert to fraction form
    76,807/158,940 = 158,940/x
  3. Step 3: Cross multiply
    76,807x = 158,940 × 158,940
  4. Step 4: Simplify right side
    76,807x = 25,261,923,600
  5. Step 5: Solve for x
    x = 25,261,923,600/76,807
  6. Step 6: Final answer
    x = 328,901.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.