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Finding the Third Proportional to 118,510.75 and 259,192.25

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Solution

The third proportional to 118,510.75 and 259,192.25 is: 566,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,510.75 : 259,192.25 = 259,192.25 : x
  2. Step 2: Convert to fraction form
    118,510.75/259,192.25 = 259,192.25/x
  3. Step 3: Cross multiply
    118,510.75x = 259,192.25 × 259,192.25
  4. Step 4: Simplify right side
    118,510.75x = 67,180,622,460.06
  5. Step 5: Solve for x
    x = 67,180,622,460.06/118,510.75
  6. Step 6: Final answer
    x = 566,873.66

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Why These Related Problems?

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