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Finding the Third Proportional to 150,009.38 and 211,006.88

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Solution

The third proportional to 150,009.38 and 211,006.88 is: 296,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009.38 : 211,006.88 = 211,006.88 : x
  2. Step 2: Convert to fraction form
    150,009.38/211,006.88 = 211,006.88/x
  3. Step 3: Cross multiply
    150,009.38x = 211,006.88 × 211,006.88
  4. Step 4: Simplify right side
    150,009.38x = 44,523,901,297.27
  5. Step 5: Solve for x
    x = 44,523,901,297.27/150,009.38
  6. Step 6: Final answer
    x = 296,807.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.