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Finding the Third Proportional to 144,053.50 and 211,408.50

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Solution

The third proportional to 144,053.50 and 211,408.50 is: 310,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,053.50 : 211,408.50 = 211,408.50 : x
  2. Step 2: Convert to fraction form
    144,053.50/211,408.50 = 211,408.50/x
  3. Step 3: Cross multiply
    144,053.50x = 211,408.50 × 211,408.50
  4. Step 4: Simplify right side
    144,053.50x = 44,693,553,872.25
  5. Step 5: Solve for x
    x = 44,693,553,872.25/144,053.50
  6. Step 6: Final answer
    x = 310,256.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.