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Finding the Third Proportional to 133,458.75 and 293,655.38

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Solution

The third proportional to 133,458.75 and 293,655.38 is: 646,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,458.75 : 293,655.38 = 293,655.38 : x
  2. Step 2: Convert to fraction form
    133,458.75/293,655.38 = 293,655.38/x
  3. Step 3: Cross multiply
    133,458.75x = 293,655.38 × 293,655.38
  4. Step 4: Simplify right side
    133,458.75x = 86,233,479,266.39
  5. Step 5: Solve for x
    x = 86,233,479,266.39/133,458.75
  6. Step 6: Final answer
    x = 646,143.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.