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Finding the Third Proportional to 225,205.31 and 350,719.88

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Solution

The third proportional to 225,205.31 and 350,719.88 is: 546,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,205.31 : 350,719.88 = 350,719.88 : x
  2. Step 2: Convert to fraction form
    225,205.31/350,719.88 = 350,719.88/x
  3. Step 3: Cross multiply
    225,205.31x = 350,719.88 × 350,719.88
  4. Step 4: Simplify right side
    225,205.31x = 123,004,430,720.02
  5. Step 5: Solve for x
    x = 123,004,430,720.02/225,205.31
  6. Step 6: Final answer
    x = 546,187.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.