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Finding the Third Proportional to 199,537 and 299,296

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Solution

The third proportional to 199,537 and 299,296 is: 448,929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,537 : 299,296 = 299,296 : x
  2. Step 2: Convert to fraction form
    199,537/299,296 = 299,296/x
  3. Step 3: Cross multiply
    199,537x = 299,296 × 299,296
  4. Step 4: Simplify right side
    199,537x = 89,578,095,616
  5. Step 5: Solve for x
    x = 89,578,095,616/199,537
  6. Step 6: Final answer
    x = 448,929.75

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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.