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Finding the Third Proportional to 215,027 and 300,746

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Solution

The third proportional to 215,027 and 300,746 is: 420,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,027 : 300,746 = 300,746 : x
  2. Step 2: Convert to fraction form
    215,027/300,746 = 300,746/x
  3. Step 3: Cross multiply
    215,027x = 300,746 × 300,746
  4. Step 4: Simplify right side
    215,027x = 90,448,156,516
  5. Step 5: Solve for x
    x = 90,448,156,516/215,027
  6. Step 6: Final answer
    x = 420,636.28

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.