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Finding the Third Proportional to 229,737.52 and 475,866.14

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Solution

The third proportional to 229,737.52 and 475,866.14 is: 985,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,737.52 : 475,866.14 = 475,866.14 : x
  2. Step 2: Convert to fraction form
    229,737.52/475,866.14 = 475,866.14/x
  3. Step 3: Cross multiply
    229,737.52x = 475,866.14 × 475,866.14
  4. Step 4: Simplify right side
    229,737.52x = 226,448,583,793.33
  5. Step 5: Solve for x
    x = 226,448,583,793.33/229,737.52
  6. Step 6: Final answer
    x = 985,683.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.