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Finding the Third Proportional to 115,477 and 240,133

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Solution

The third proportional to 115,477 and 240,133 is: 499,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,477 : 240,133 = 240,133 : x
  2. Step 2: Convert to fraction form
    115,477/240,133 = 240,133/x
  3. Step 3: Cross multiply
    115,477x = 240,133 × 240,133
  4. Step 4: Simplify right side
    115,477x = 57,663,857,689
  5. Step 5: Solve for x
    x = 57,663,857,689/115,477
  6. Step 6: Final answer
    x = 499,353.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.