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Finding the Third Proportional to 107,378 and 242,598

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Solution

The third proportional to 107,378 and 242,598 is: 548,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,378 : 242,598 = 242,598 : x
  2. Step 2: Convert to fraction form
    107,378/242,598 = 242,598/x
  3. Step 3: Cross multiply
    107,378x = 242,598 × 242,598
  4. Step 4: Simplify right side
    107,378x = 58,853,789,604
  5. Step 5: Solve for x
    x = 58,853,789,604/107,378
  6. Step 6: Final answer
    x = 548,099.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.