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Finding the Third Proportional to 110,618.25 and 241,329

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Solution

The third proportional to 110,618.25 and 241,329 is: 526,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,618.25 : 241,329 = 241,329 : x
  2. Step 2: Convert to fraction form
    110,618.25/241,329 = 241,329/x
  3. Step 3: Cross multiply
    110,618.25x = 241,329 × 241,329
  4. Step 4: Simplify right side
    110,618.25x = 58,239,686,241
  5. Step 5: Solve for x
    x = 58,239,686,241/110,618.25
  6. Step 6: Final answer
    x = 526,492.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.