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Finding the Third Proportional to 144,744 and 224,100

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Solution

The third proportional to 144,744 and 224,100 is: 346,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,744 : 224,100 = 224,100 : x
  2. Step 2: Convert to fraction form
    144,744/224,100 = 224,100/x
  3. Step 3: Cross multiply
    144,744x = 224,100 × 224,100
  4. Step 4: Simplify right side
    144,744x = 50,220,810,000
  5. Step 5: Solve for x
    x = 50,220,810,000/144,744
  6. Step 6: Final answer
    x = 346,962.98

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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.