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Finding the Third Proportional to 141,647 and 207,367

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Solution

The third proportional to 141,647 and 207,367 is: 303,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,647 : 207,367 = 207,367 : x
  2. Step 2: Convert to fraction form
    141,647/207,367 = 207,367/x
  3. Step 3: Cross multiply
    141,647x = 207,367 × 207,367
  4. Step 4: Simplify right side
    141,647x = 43,001,072,689
  5. Step 5: Solve for x
    x = 43,001,072,689/141,647
  6. Step 6: Final answer
    x = 303,579.13

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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.