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Finding the Third Proportional to 144,816.19 and 224,229.94

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Solution

The third proportional to 144,816.19 and 224,229.94 is: 347,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,816.19 : 224,229.94 = 224,229.94 : x
  2. Step 2: Convert to fraction form
    144,816.19/224,229.94 = 224,229.94/x
  3. Step 3: Cross multiply
    144,816.19x = 224,229.94 × 224,229.94
  4. Step 4: Simplify right side
    144,816.19x = 50,279,064,871.25
  5. Step 5: Solve for x
    x = 50,279,064,871.25/144,816.19
  6. Step 6: Final answer
    x = 347,192.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.