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Finding the Third Proportional to 113,598 and 241,767

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Solution

The third proportional to 113,598 and 241,767 is: 514,544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,598 : 241,767 = 241,767 : x
  2. Step 2: Convert to fraction form
    113,598/241,767 = 241,767/x
  3. Step 3: Cross multiply
    113,598x = 241,767 × 241,767
  4. Step 4: Simplify right side
    113,598x = 58,451,282,289
  5. Step 5: Solve for x
    x = 58,451,282,289/113,598
  6. Step 6: Final answer
    x = 514,544.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.