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Finding the Third Proportional to 199,648 and 291,664

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Solution

The third proportional to 199,648 and 291,664 is: 426,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648 : 291,664 = 291,664 : x
  2. Step 2: Convert to fraction form
    199,648/291,664 = 291,664/x
  3. Step 3: Cross multiply
    199,648x = 291,664 × 291,664
  4. Step 4: Simplify right side
    199,648x = 85,067,888,896
  5. Step 5: Solve for x
    x = 85,067,888,896/199,648
  6. Step 6: Final answer
    x = 426,089.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.