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Finding the Third Proportional to 199,557 and 301,408.88

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Solution

The third proportional to 199,557 and 301,408.88 is: 455,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,557 : 301,408.88 = 301,408.88 : x
  2. Step 2: Convert to fraction form
    199,557/301,408.88 = 301,408.88/x
  3. Step 3: Cross multiply
    199,557x = 301,408.88 × 301,408.88
  4. Step 4: Simplify right side
    199,557x = 90,847,309,928.77
  5. Step 5: Solve for x
    x = 90,847,309,928.77/199,557
  6. Step 6: Final answer
    x = 455,244.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.