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Finding the Third Proportional to 144,576 and 217,008

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Solution

The third proportional to 144,576 and 217,008 is: 325,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,576 : 217,008 = 217,008 : x
  2. Step 2: Convert to fraction form
    144,576/217,008 = 217,008/x
  3. Step 3: Cross multiply
    144,576x = 217,008 × 217,008
  4. Step 4: Simplify right side
    144,576x = 47,092,472,064
  5. Step 5: Solve for x
    x = 47,092,472,064/144,576
  6. Step 6: Final answer
    x = 325,728.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.