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Finding the Third Proportional to 118,189.13 and 259,326.56

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Solution

The third proportional to 118,189.13 and 259,326.56 is: 569,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,189.13 : 259,326.56 = 259,326.56 : x
  2. Step 2: Convert to fraction form
    118,189.13/259,326.56 = 259,326.56/x
  3. Step 3: Cross multiply
    118,189.13x = 259,326.56 × 259,326.56
  4. Step 4: Simplify right side
    118,189.13x = 67,250,266,018.07
  5. Step 5: Solve for x
    x = 67,250,266,018.07/118,189.13
  6. Step 6: Final answer
    x = 569,005.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.