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Finding the Third Proportional to 237,616 and 314,086

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Solution

The third proportional to 237,616 and 314,086 is: 415,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,616 : 314,086 = 314,086 : x
  2. Step 2: Convert to fraction form
    237,616/314,086 = 314,086/x
  3. Step 3: Cross multiply
    237,616x = 314,086 × 314,086
  4. Step 4: Simplify right side
    237,616x = 98,650,015,396
  5. Step 5: Solve for x
    x = 98,650,015,396/237,616
  6. Step 6: Final answer
    x = 415,165.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.