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Finding the Third Proportional to 111,382 and 241,232

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Solution

The third proportional to 111,382 and 241,232 is: 522,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,382 : 241,232 = 241,232 : x
  2. Step 2: Convert to fraction form
    111,382/241,232 = 241,232/x
  3. Step 3: Cross multiply
    111,382x = 241,232 × 241,232
  4. Step 4: Simplify right side
    111,382x = 58,192,877,824
  5. Step 5: Solve for x
    x = 58,192,877,824/111,382
  6. Step 6: Final answer
    x = 522,462.14

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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.