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Finding the Third Proportional to 179,042 and 242,301

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Solution

The third proportional to 179,042 and 242,301 is: 327,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,042 : 242,301 = 242,301 : x
  2. Step 2: Convert to fraction form
    179,042/242,301 = 242,301/x
  3. Step 3: Cross multiply
    179,042x = 242,301 × 242,301
  4. Step 4: Simplify right side
    179,042x = 58,709,774,601
  5. Step 5: Solve for x
    x = 58,709,774,601/179,042
  6. Step 6: Final answer
    x = 327,910.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.