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Finding the Third Proportional to 199,617 and 293,571

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Solution

The third proportional to 199,617 and 293,571 is: 431,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617 : 293,571 = 293,571 : x
  2. Step 2: Convert to fraction form
    199,617/293,571 = 293,571/x
  3. Step 3: Cross multiply
    199,617x = 293,571 × 293,571
  4. Step 4: Simplify right side
    199,617x = 86,183,932,041
  5. Step 5: Solve for x
    x = 86,183,932,041/199,617
  6. Step 6: Final answer
    x = 431,746.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.