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Finding the Third Proportional to 214,915.50 and 469,197

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Solution

The third proportional to 214,915.50 and 469,197 is: 1,024,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,915.50 : 469,197 = 469,197 : x
  2. Step 2: Convert to fraction form
    214,915.50/469,197 = 469,197/x
  3. Step 3: Cross multiply
    214,915.50x = 469,197 × 469,197
  4. Step 4: Simplify right side
    214,915.50x = 220,145,824,809
  5. Step 5: Solve for x
    x = 220,145,824,809/214,915.50
  6. Step 6: Final answer
    x = 1,024,336.66

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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.