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Finding the Third Proportional to 199,545 and 299,307

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Solution

The third proportional to 199,545 and 299,307 is: 448,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,545 : 299,307 = 299,307 : x
  2. Step 2: Convert to fraction form
    199,545/299,307 = 299,307/x
  3. Step 3: Cross multiply
    199,545x = 299,307 × 299,307
  4. Step 4: Simplify right side
    199,545x = 89,584,680,249
  5. Step 5: Solve for x
    x = 89,584,680,249/199,545
  6. Step 6: Final answer
    x = 448,944.75

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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.