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Finding the Third Proportional to 114,511 and 245,978

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Solution

The third proportional to 114,511 and 245,978 is: 528,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,511 : 245,978 = 245,978 : x
  2. Step 2: Convert to fraction form
    114,511/245,978 = 245,978/x
  3. Step 3: Cross multiply
    114,511x = 245,978 × 245,978
  4. Step 4: Simplify right side
    114,511x = 60,505,176,484
  5. Step 5: Solve for x
    x = 60,505,176,484/114,511
  6. Step 6: Final answer
    x = 528,378.73

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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.