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Finding the Third Proportional to 118,948 and 259,784

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Solution

The third proportional to 118,948 and 259,784 is: 567,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,948 : 259,784 = 259,784 : x
  2. Step 2: Convert to fraction form
    118,948/259,784 = 259,784/x
  3. Step 3: Cross multiply
    118,948x = 259,784 × 259,784
  4. Step 4: Simplify right side
    118,948x = 67,487,726,656
  5. Step 5: Solve for x
    x = 67,487,726,656/118,948
  6. Step 6: Final answer
    x = 567,371.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.