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Finding the Third Proportional to 211,104 and 315,603

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Solution

The third proportional to 211,104 and 315,603 is: 471,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,104 : 315,603 = 315,603 : x
  2. Step 2: Convert to fraction form
    211,104/315,603 = 315,603/x
  3. Step 3: Cross multiply
    211,104x = 315,603 × 315,603
  4. Step 4: Simplify right side
    211,104x = 99,605,253,609
  5. Step 5: Solve for x
    x = 99,605,253,609/211,104
  6. Step 6: Final answer
    x = 471,830.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.