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Finding the Third Proportional to 229,532.48 and 361,905.79

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Solution

The third proportional to 229,532.48 and 361,905.79 is: 570,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,532.48 : 361,905.79 = 361,905.79 : x
  2. Step 2: Convert to fraction form
    229,532.48/361,905.79 = 361,905.79/x
  3. Step 3: Cross multiply
    229,532.48x = 361,905.79 × 361,905.79
  4. Step 4: Simplify right side
    229,532.48x = 130,975,797,329.56
  5. Step 5: Solve for x
    x = 130,975,797,329.56/229,532.48
  6. Step 6: Final answer
    x = 570,619.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.