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Finding the Third Proportional to 150,045.75 and 211,032

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Solution

The third proportional to 150,045.75 and 211,032 is: 296,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,045.75 : 211,032 = 211,032 : x
  2. Step 2: Convert to fraction form
    150,045.75/211,032 = 211,032/x
  3. Step 3: Cross multiply
    150,045.75x = 211,032 × 211,032
  4. Step 4: Simplify right side
    150,045.75x = 44,534,505,024
  5. Step 5: Solve for x
    x = 44,534,505,024/150,045.75
  6. Step 6: Final answer
    x = 296,806.17

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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.