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Finding the Third Proportional to 76,808 and 158,944

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Solution

The third proportional to 76,808 and 158,944 is: 328,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808 : 158,944 = 158,944 : x
  2. Step 2: Convert to fraction form
    76,808/158,944 = 158,944/x
  3. Step 3: Cross multiply
    76,808x = 158,944 × 158,944
  4. Step 4: Simplify right side
    76,808x = 25,263,195,136
  5. Step 5: Solve for x
    x = 25,263,195,136/76,808
  6. Step 6: Final answer
    x = 328,913.59

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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.