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Finding the Third Proportional to 118,298 and 259,892

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Solution

The third proportional to 118,298 and 259,892 is: 570,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,298 : 259,892 = 259,892 : x
  2. Step 2: Convert to fraction form
    118,298/259,892 = 259,892/x
  3. Step 3: Cross multiply
    118,298x = 259,892 × 259,892
  4. Step 4: Simplify right side
    118,298x = 67,543,851,664
  5. Step 5: Solve for x
    x = 67,543,851,664/118,298
  6. Step 6: Final answer
    x = 570,963.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.