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Finding the Third Proportional to 143,448 and 293,232

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Solution

The third proportional to 143,448 and 293,232 is: 599,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,448 : 293,232 = 293,232 : x
  2. Step 2: Convert to fraction form
    143,448/293,232 = 293,232/x
  3. Step 3: Cross multiply
    143,448x = 293,232 × 293,232
  4. Step 4: Simplify right side
    143,448x = 85,985,005,824
  5. Step 5: Solve for x
    x = 85,985,005,824/143,448
  6. Step 6: Final answer
    x = 599,415.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.