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Finding the Third Proportional to 76,203.28 and 160,607.81

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Solution

The third proportional to 76,203.28 and 160,607.81 is: 338,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.28 : 160,607.81 = 160,607.81 : x
  2. Step 2: Convert to fraction form
    76,203.28/160,607.81 = 160,607.81/x
  3. Step 3: Cross multiply
    76,203.28x = 160,607.81 × 160,607.81
  4. Step 4: Simplify right side
    76,203.28x = 25,794,869,436.04
  5. Step 5: Solve for x
    x = 25,794,869,436.04/76,203.28
  6. Step 6: Final answer
    x = 338,500.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.