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Finding the Third Proportional to 111,292.13 and 262,455

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Solution

The third proportional to 111,292.13 and 262,455 is: 618,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,292.13 : 262,455 = 262,455 : x
  2. Step 2: Convert to fraction form
    111,292.13/262,455 = 262,455/x
  3. Step 3: Cross multiply
    111,292.13x = 262,455 × 262,455
  4. Step 4: Simplify right side
    111,292.13x = 68,882,627,025
  5. Step 5: Solve for x
    x = 68,882,627,025/111,292.13
  6. Step 6: Final answer
    x = 618,935.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.