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Finding the Third Proportional to 160,228.69 and 350,232.56

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Solution

The third proportional to 160,228.69 and 350,232.56 is: 765,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,228.69 : 350,232.56 = 350,232.56 : x
  2. Step 2: Convert to fraction form
    160,228.69/350,232.56 = 350,232.56/x
  3. Step 3: Cross multiply
    160,228.69x = 350,232.56 × 350,232.56
  4. Step 4: Simplify right side
    160,228.69x = 122,662,847,835.32
  5. Step 5: Solve for x
    x = 122,662,847,835.32/160,228.69
  6. Step 6: Final answer
    x = 765,548.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.