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Finding the Third Proportional to 134,065.13 and 293,736.38

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Solution

The third proportional to 134,065.13 and 293,736.38 is: 643,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,065.13 : 293,736.38 = 293,736.38 : x
  2. Step 2: Convert to fraction form
    134,065.13/293,736.38 = 293,736.38/x
  3. Step 3: Cross multiply
    134,065.13x = 293,736.38 × 293,736.38
  4. Step 4: Simplify right side
    134,065.13x = 86,281,057,998.14
  5. Step 5: Solve for x
    x = 86,281,057,998.14/134,065.13
  6. Step 6: Final answer
    x = 643,575.71

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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.