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Finding the Third Proportional to 199,127 and 315,462

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Solution

The third proportional to 199,127 and 315,462 is: 499,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,127 : 315,462 = 315,462 : x
  2. Step 2: Convert to fraction form
    199,127/315,462 = 315,462/x
  3. Step 3: Cross multiply
    199,127x = 315,462 × 315,462
  4. Step 4: Simplify right side
    199,127x = 99,516,273,444
  5. Step 5: Solve for x
    x = 99,516,273,444/199,127
  6. Step 6: Final answer
    x = 499,762.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.