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Finding the Third Proportional to 118,998 and 259,308

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Solution

The third proportional to 118,998 and 259,308 is: 565,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,998 : 259,308 = 259,308 : x
  2. Step 2: Convert to fraction form
    118,998/259,308 = 259,308/x
  3. Step 3: Cross multiply
    118,998x = 259,308 × 259,308
  4. Step 4: Simplify right side
    118,998x = 67,240,638,864
  5. Step 5: Solve for x
    x = 67,240,638,864/118,998
  6. Step 6: Final answer
    x = 565,056.88

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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.