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Finding the Third Proportional to 155,534.50 and 227,469

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Solution

The third proportional to 155,534.50 and 227,469 is: 332,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,534.50 : 227,469 = 227,469 : x
  2. Step 2: Convert to fraction form
    155,534.50/227,469 = 227,469/x
  3. Step 3: Cross multiply
    155,534.50x = 227,469 × 227,469
  4. Step 4: Simplify right side
    155,534.50x = 51,742,145,961
  5. Step 5: Solve for x
    x = 51,742,145,961/155,534.50
  6. Step 6: Final answer
    x = 332,673.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.