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Finding the Third Proportional to 109,898 and 235,346

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Solution

The third proportional to 109,898 and 235,346 is: 503,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898 : 235,346 = 235,346 : x
  2. Step 2: Convert to fraction form
    109,898/235,346 = 235,346/x
  3. Step 3: Cross multiply
    109,898x = 235,346 × 235,346
  4. Step 4: Simplify right side
    109,898x = 55,387,739,716
  5. Step 5: Solve for x
    x = 55,387,739,716/109,898
  6. Step 6: Final answer
    x = 503,992.24

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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.