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Finding the Third Proportional to 109,898 and 235,348

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Solution

The third proportional to 109,898 and 235,348 is: 504,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898 : 235,348 = 235,348 : x
  2. Step 2: Convert to fraction form
    109,898/235,348 = 235,348/x
  3. Step 3: Cross multiply
    109,898x = 235,348 × 235,348
  4. Step 4: Simplify right side
    109,898x = 55,388,681,104
  5. Step 5: Solve for x
    x = 55,388,681,104/109,898
  6. Step 6: Final answer
    x = 504,000.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.