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Finding the Third Proportional to 116,853.19 and 258,229.13

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Solution

The third proportional to 116,853.19 and 258,229.13 is: 570,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,853.19 : 258,229.13 = 258,229.13 : x
  2. Step 2: Convert to fraction form
    116,853.19/258,229.13 = 258,229.13/x
  3. Step 3: Cross multiply
    116,853.19x = 258,229.13 × 258,229.13
  4. Step 4: Simplify right side
    116,853.19x = 66,682,280,998.27
  5. Step 5: Solve for x
    x = 66,682,280,998.27/116,853.19
  6. Step 6: Final answer
    x = 570,650.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.