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Finding the Third Proportional to 110,154 and 236,289

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Solution

The third proportional to 110,154 and 236,289 is: 506,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,154 : 236,289 = 236,289 : x
  2. Step 2: Convert to fraction form
    110,154/236,289 = 236,289/x
  3. Step 3: Cross multiply
    110,154x = 236,289 × 236,289
  4. Step 4: Simplify right side
    110,154x = 55,832,491,521
  5. Step 5: Solve for x
    x = 55,832,491,521/110,154
  6. Step 6: Final answer
    x = 506,858.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.