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Finding the Third Proportional to 138,349.50 and 213,666.75

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Solution

The third proportional to 138,349.50 and 213,666.75 is: 329,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,349.50 : 213,666.75 = 213,666.75 : x
  2. Step 2: Convert to fraction form
    138,349.50/213,666.75 = 213,666.75/x
  3. Step 3: Cross multiply
    138,349.50x = 213,666.75 × 213,666.75
  4. Step 4: Simplify right side
    138,349.50x = 45,653,480,055.56
  5. Step 5: Solve for x
    x = 45,653,480,055.56/138,349.50
  6. Step 6: Final answer
    x = 329,986.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.