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Finding the Third Proportional to 118,297.50 and 259,495.50

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Solution

The third proportional to 118,297.50 and 259,495.50 is: 569,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,297.50 : 259,495.50 = 259,495.50 : x
  2. Step 2: Convert to fraction form
    118,297.50/259,495.50 = 259,495.50/x
  3. Step 3: Cross multiply
    118,297.50x = 259,495.50 × 259,495.50
  4. Step 4: Simplify right side
    118,297.50x = 67,337,914,520.25
  5. Step 5: Solve for x
    x = 67,337,914,520.25/118,297.50
  6. Step 6: Final answer
    x = 569,225.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.