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Finding the Third Proportional to 138,016.50 and 297,173.63

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Solution

The third proportional to 138,016.50 and 297,173.63 is: 639,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,016.50 : 297,173.63 = 297,173.63 : x
  2. Step 2: Convert to fraction form
    138,016.50/297,173.63 = 297,173.63/x
  3. Step 3: Cross multiply
    138,016.50x = 297,173.63 × 297,173.63
  4. Step 4: Simplify right side
    138,016.50x = 88,312,163,395.64
  5. Step 5: Solve for x
    x = 88,312,163,395.64/138,016.50
  6. Step 6: Final answer
    x = 639,866.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.