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Finding the Third Proportional to 199,416 and 301,497

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Solution

The third proportional to 199,416 and 301,497 is: 455,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,416 : 301,497 = 301,497 : x
  2. Step 2: Convert to fraction form
    199,416/301,497 = 301,497/x
  3. Step 3: Cross multiply
    199,416x = 301,497 × 301,497
  4. Step 4: Simplify right side
    199,416x = 90,900,441,009
  5. Step 5: Solve for x
    x = 90,900,441,009/199,416
  6. Step 6: Final answer
    x = 455,833.24

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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.