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Finding the Third Proportional to 150,900.47 and 211,501.13

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Solution

The third proportional to 150,900.47 and 211,501.13 is: 296,438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,900.47 : 211,501.13 = 211,501.13 : x
  2. Step 2: Convert to fraction form
    150,900.47/211,501.13 = 211,501.13/x
  3. Step 3: Cross multiply
    150,900.47x = 211,501.13 × 211,501.13
  4. Step 4: Simplify right side
    150,900.47x = 44,732,725,876.27
  5. Step 5: Solve for x
    x = 44,732,725,876.27/150,900.47
  6. Step 6: Final answer
    x = 296,438.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.