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Finding the Third Proportional to 158,047 and 242,353

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Solution

The third proportional to 158,047 and 242,353 is: 371,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,047 : 242,353 = 242,353 : x
  2. Step 2: Convert to fraction form
    158,047/242,353 = 242,353/x
  3. Step 3: Cross multiply
    158,047x = 242,353 × 242,353
  4. Step 4: Simplify right side
    158,047x = 58,734,976,609
  5. Step 5: Solve for x
    x = 58,734,976,609/158,047
  6. Step 6: Final answer
    x = 371,629.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.