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Finding the Third Proportional to 153,144 and 324,472

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Solution

The third proportional to 153,144 and 324,472 is: 687,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,144 : 324,472 = 324,472 : x
  2. Step 2: Convert to fraction form
    153,144/324,472 = 324,472/x
  3. Step 3: Cross multiply
    153,144x = 324,472 × 324,472
  4. Step 4: Simplify right side
    153,144x = 105,282,078,784
  5. Step 5: Solve for x
    x = 105,282,078,784/153,144
  6. Step 6: Final answer
    x = 687,471.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.