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Finding the Third Proportional to 199,638 and 431,260.50

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Solution

The third proportional to 199,638 and 431,260.50 is: 931,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,638 : 431,260.50 = 431,260.50 : x
  2. Step 2: Convert to fraction form
    199,638/431,260.50 = 431,260.50/x
  3. Step 3: Cross multiply
    199,638x = 431,260.50 × 431,260.50
  4. Step 4: Simplify right side
    199,638x = 185,985,618,860.25
  5. Step 5: Solve for x
    x = 185,985,618,860.25/199,638
  6. Step 6: Final answer
    x = 931,614.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.