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Finding the Third Proportional to 199,555.50 and 299,322

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Solution

The third proportional to 199,555.50 and 299,322 is: 448,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,555.50 : 299,322 = 299,322 : x
  2. Step 2: Convert to fraction form
    199,555.50/299,322 = 299,322/x
  3. Step 3: Cross multiply
    199,555.50x = 299,322 × 299,322
  4. Step 4: Simplify right side
    199,555.50x = 89,593,659,684
  5. Step 5: Solve for x
    x = 89,593,659,684/199,555.50
  6. Step 6: Final answer
    x = 448,966.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.