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Finding the Third Proportional to 189,916 and 300,730

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Solution

The third proportional to 189,916 and 300,730 is: 476,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,916 : 300,730 = 300,730 : x
  2. Step 2: Convert to fraction form
    189,916/300,730 = 300,730/x
  3. Step 3: Cross multiply
    189,916x = 300,730 × 300,730
  4. Step 4: Simplify right side
    189,916x = 90,438,532,900
  5. Step 5: Solve for x
    x = 90,438,532,900/189,916
  6. Step 6: Final answer
    x = 476,202.81

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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.