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Finding the Third Proportional to 167,982 and 242,037

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Solution

The third proportional to 167,982 and 242,037 is: 348,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,982 : 242,037 = 242,037 : x
  2. Step 2: Convert to fraction form
    167,982/242,037 = 242,037/x
  3. Step 3: Cross multiply
    167,982x = 242,037 × 242,037
  4. Step 4: Simplify right side
    167,982x = 58,581,909,369
  5. Step 5: Solve for x
    x = 58,581,909,369/167,982
  6. Step 6: Final answer
    x = 348,739.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.