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Finding the Third Proportional to 118,333 and 258,350

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Solution

The third proportional to 118,333 and 258,350 is: 564,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,333 : 258,350 = 258,350 : x
  2. Step 2: Convert to fraction form
    118,333/258,350 = 258,350/x
  3. Step 3: Cross multiply
    118,333x = 258,350 × 258,350
  4. Step 4: Simplify right side
    118,333x = 66,744,722,500
  5. Step 5: Solve for x
    x = 66,744,722,500/118,333
  6. Step 6: Final answer
    x = 564,041.50

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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.