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Finding the Third Proportional to 76,306 and 161,846

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Solution

The third proportional to 76,306 and 161,846 is: 343,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,306 : 161,846 = 161,846 : x
  2. Step 2: Convert to fraction form
    76,306/161,846 = 161,846/x
  3. Step 3: Cross multiply
    76,306x = 161,846 × 161,846
  4. Step 4: Simplify right side
    76,306x = 26,194,127,716
  5. Step 5: Solve for x
    x = 26,194,127,716/76,306
  6. Step 6: Final answer
    x = 343,277.43

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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.