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Finding the Third Proportional to 111,764 and 242,455

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Solution

The third proportional to 111,764 and 242,455 is: 525,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,764 : 242,455 = 242,455 : x
  2. Step 2: Convert to fraction form
    111,764/242,455 = 242,455/x
  3. Step 3: Cross multiply
    111,764x = 242,455 × 242,455
  4. Step 4: Simplify right side
    111,764x = 58,784,427,025
  5. Step 5: Solve for x
    x = 58,784,427,025/111,764
  6. Step 6: Final answer
    x = 525,969.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.