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Finding the Third Proportional to 110,824.50 and 229,531.50

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Solution

The third proportional to 110,824.50 and 229,531.50 is: 475,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,824.50 : 229,531.50 = 229,531.50 : x
  2. Step 2: Convert to fraction form
    110,824.50/229,531.50 = 229,531.50/x
  3. Step 3: Cross multiply
    110,824.50x = 229,531.50 × 229,531.50
  4. Step 4: Simplify right side
    110,824.50x = 52,684,709,492.25
  5. Step 5: Solve for x
    x = 52,684,709,492.25/110,824.50
  6. Step 6: Final answer
    x = 475,388.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.