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Finding the Third Proportional to 118,794.75 and 258,502.13

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Solution

The third proportional to 118,794.75 and 258,502.13 is: 562,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,794.75 : 258,502.13 = 258,502.13 : x
  2. Step 2: Convert to fraction form
    118,794.75/258,502.13 = 258,502.13/x
  3. Step 3: Cross multiply
    118,794.75x = 258,502.13 × 258,502.13
  4. Step 4: Simplify right side
    118,794.75x = 66,823,348,629.52
  5. Step 5: Solve for x
    x = 66,823,348,629.52/118,794.75
  6. Step 6: Final answer
    x = 562,510.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.