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Finding the Third Proportional to 111,012 and 242,324

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Solution

The third proportional to 111,012 and 242,324 is: 528,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,012 : 242,324 = 242,324 : x
  2. Step 2: Convert to fraction form
    111,012/242,324 = 242,324/x
  3. Step 3: Cross multiply
    111,012x = 242,324 × 242,324
  4. Step 4: Simplify right side
    111,012x = 58,720,920,976
  5. Step 5: Solve for x
    x = 58,720,920,976/111,012
  6. Step 6: Final answer
    x = 528,960.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.