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Finding the Third Proportional to 138,453.05 and 207,448.91

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Solution

The third proportional to 138,453.05 and 207,448.91 is: 310,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,453.05 : 207,448.91 = 207,448.91 : x
  2. Step 2: Convert to fraction form
    138,453.05/207,448.91 = 207,448.91/x
  3. Step 3: Cross multiply
    138,453.05x = 207,448.91 × 207,448.91
  4. Step 4: Simplify right side
    138,453.05x = 43,035,050,325.02
  5. Step 5: Solve for x
    x = 43,035,050,325.02/138,453.05
  6. Step 6: Final answer
    x = 310,827.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.