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Finding the Third Proportional to 151,971.75 and 351,817.13

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Solution

The third proportional to 151,971.75 and 351,817.13 is: 814,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,971.75 : 351,817.13 = 351,817.13 : x
  2. Step 2: Convert to fraction form
    151,971.75/351,817.13 = 351,817.13/x
  3. Step 3: Cross multiply
    151,971.75x = 351,817.13 × 351,817.13
  4. Step 4: Simplify right side
    151,971.75x = 123,775,289,443.27
  5. Step 5: Solve for x
    x = 123,775,289,443.27/151,971.75
  6. Step 6: Final answer
    x = 814,462.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.