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Finding the Third Proportional to 111,348 and 233,634

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Solution

The third proportional to 111,348 and 233,634 is: 490,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,348 : 233,634 = 233,634 : x
  2. Step 2: Convert to fraction form
    111,348/233,634 = 233,634/x
  3. Step 3: Cross multiply
    111,348x = 233,634 × 233,634
  4. Step 4: Simplify right side
    111,348x = 54,584,845,956
  5. Step 5: Solve for x
    x = 54,584,845,956/111,348
  6. Step 6: Final answer
    x = 490,218.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.