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Finding the Third Proportional to 144,822.94 and 224,240.06

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Solution

The third proportional to 144,822.94 and 224,240.06 is: 347,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,822.94 : 224,240.06 = 224,240.06 : x
  2. Step 2: Convert to fraction form
    144,822.94/224,240.06 = 224,240.06/x
  3. Step 3: Cross multiply
    144,822.94x = 224,240.06 × 224,240.06
  4. Step 4: Simplify right side
    144,822.94x = 50,283,605,630.00
  5. Step 5: Solve for x
    x = 50,283,605,630.00/144,822.94
  6. Step 6: Final answer
    x = 347,207.47

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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.