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Finding the Third Proportional to 118,141 and 259,247.25

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Solution

The third proportional to 118,141 and 259,247.25 is: 568,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,141 : 259,247.25 = 259,247.25 : x
  2. Step 2: Convert to fraction form
    118,141/259,247.25 = 259,247.25/x
  3. Step 3: Cross multiply
    118,141x = 259,247.25 × 259,247.25
  4. Step 4: Simplify right side
    118,141x = 67,209,136,632.56
  5. Step 5: Solve for x
    x = 67,209,136,632.56/118,141
  6. Step 6: Final answer
    x = 568,889.18

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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.