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Finding the Third Proportional to 118,983.09 and 259,670.81

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Solution

The third proportional to 118,983.09 and 259,670.81 is: 566,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,983.09 : 259,670.81 = 259,670.81 : x
  2. Step 2: Convert to fraction form
    118,983.09/259,670.81 = 259,670.81/x
  3. Step 3: Cross multiply
    118,983.09x = 259,670.81 × 259,670.81
  4. Step 4: Simplify right side
    118,983.09x = 67,428,930,864.41
  5. Step 5: Solve for x
    x = 67,428,930,864.41/118,983.09
  6. Step 6: Final answer
    x = 566,710.18

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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.