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Finding the Third Proportional to 238,162.78 and 348,496.17

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Solution

The third proportional to 238,162.78 and 348,496.17 is: 509,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,162.78 : 348,496.17 = 348,496.17 : x
  2. Step 2: Convert to fraction form
    238,162.78/348,496.17 = 348,496.17/x
  3. Step 3: Cross multiply
    238,162.78x = 348,496.17 × 348,496.17
  4. Step 4: Simplify right side
    238,162.78x = 121,449,581,811.53
  5. Step 5: Solve for x
    x = 121,449,581,811.53/238,162.78
  6. Step 6: Final answer
    x = 509,943.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.