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Finding the Third Proportional to 114,214 and 245,928

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Solution

The third proportional to 114,214 and 245,928 is: 529,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,214 : 245,928 = 245,928 : x
  2. Step 2: Convert to fraction form
    114,214/245,928 = 245,928/x
  3. Step 3: Cross multiply
    114,214x = 245,928 × 245,928
  4. Step 4: Simplify right side
    114,214x = 60,480,581,184
  5. Step 5: Solve for x
    x = 60,480,581,184/114,214
  6. Step 6: Final answer
    x = 529,537.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.