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Finding the Third Proportional to 118,198.13 and 259,345.13

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Solution

The third proportional to 118,198.13 and 259,345.13 is: 569,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,198.13 : 259,345.13 = 259,345.13 : x
  2. Step 2: Convert to fraction form
    118,198.13/259,345.13 = 259,345.13/x
  3. Step 3: Cross multiply
    118,198.13x = 259,345.13 × 259,345.13
  4. Step 4: Simplify right side
    118,198.13x = 67,259,893,861.27
  5. Step 5: Solve for x
    x = 67,259,893,861.27/118,198.13
  6. Step 6: Final answer
    x = 569,043.66

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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.