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Finding the Third Proportional to 227,164.50 and 351,699.75

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Solution

The third proportional to 227,164.50 and 351,699.75 is: 544,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,164.50 : 351,699.75 = 351,699.75 : x
  2. Step 2: Convert to fraction form
    227,164.50/351,699.75 = 351,699.75/x
  3. Step 3: Cross multiply
    227,164.50x = 351,699.75 × 351,699.75
  4. Step 4: Simplify right side
    227,164.50x = 123,692,714,150.06
  5. Step 5: Solve for x
    x = 123,692,714,150.06/227,164.50
  6. Step 6: Final answer
    x = 544,507.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.