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Finding the Third Proportional to 183,432 and 263,472

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Solution

The third proportional to 183,432 and 263,472 is: 378,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,432 : 263,472 = 263,472 : x
  2. Step 2: Convert to fraction form
    183,432/263,472 = 263,472/x
  3. Step 3: Cross multiply
    183,432x = 263,472 × 263,472
  4. Step 4: Simplify right side
    183,432x = 69,417,494,784
  5. Step 5: Solve for x
    x = 69,417,494,784/183,432
  6. Step 6: Final answer
    x = 378,437.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.