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Finding the Third Proportional to 135,097.88 and 293,979.38

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Solution

The third proportional to 135,097.88 and 293,979.38 is: 639,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,097.88 : 293,979.38 = 293,979.38 : x
  2. Step 2: Convert to fraction form
    135,097.88/293,979.38 = 293,979.38/x
  3. Step 3: Cross multiply
    135,097.88x = 293,979.38 × 293,979.38
  4. Step 4: Simplify right side
    135,097.88x = 86,423,872,925.39
  5. Step 5: Solve for x
    x = 86,423,872,925.39/135,097.88
  6. Step 6: Final answer
    x = 639,713.04

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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.