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Finding the Third Proportional to 110,329.50 and 236,211

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Solution

The third proportional to 110,329.50 and 236,211 is: 505,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,329.50 : 236,211 = 236,211 : x
  2. Step 2: Convert to fraction form
    110,329.50/236,211 = 236,211/x
  3. Step 3: Cross multiply
    110,329.50x = 236,211 × 236,211
  4. Step 4: Simplify right side
    110,329.50x = 55,795,636,521
  5. Step 5: Solve for x
    x = 55,795,636,521/110,329.50
  6. Step 6: Final answer
    x = 505,718.20

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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.