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Finding the Third Proportional to 199,598 and 299,373

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Solution

The third proportional to 199,598 and 299,373 is: 449,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,598 : 299,373 = 299,373 : x
  2. Step 2: Convert to fraction form
    199,598/299,373 = 299,373/x
  3. Step 3: Cross multiply
    199,598x = 299,373 × 299,373
  4. Step 4: Simplify right side
    199,598x = 89,624,193,129
  5. Step 5: Solve for x
    x = 89,624,193,129/199,598
  6. Step 6: Final answer
    x = 449,023.50

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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.