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Finding the Third Proportional to 144,232 and 308,392

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Solution

The third proportional to 144,232 and 308,392 is: 659,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,232 : 308,392 = 308,392 : x
  2. Step 2: Convert to fraction form
    144,232/308,392 = 308,392/x
  3. Step 3: Cross multiply
    144,232x = 308,392 × 308,392
  4. Step 4: Simplify right side
    144,232x = 95,105,625,664
  5. Step 5: Solve for x
    x = 95,105,625,664/144,232
  6. Step 6: Final answer
    x = 659,393.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.