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Finding the Third Proportional to 199,598 and 301,468

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Solution

The third proportional to 199,598 and 301,468 is: 455,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,598 : 301,468 = 301,468 : x
  2. Step 2: Convert to fraction form
    199,598/301,468 = 301,468/x
  3. Step 3: Cross multiply
    199,598x = 301,468 × 301,468
  4. Step 4: Simplify right side
    199,598x = 90,882,955,024
  5. Step 5: Solve for x
    x = 90,882,955,024/199,598
  6. Step 6: Final answer
    x = 455,329.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.