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Finding the Third Proportional to 238,995 and 348,630.75

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Solution

The third proportional to 238,995 and 348,630.75 is: 508,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,995 : 348,630.75 = 348,630.75 : x
  2. Step 2: Convert to fraction form
    238,995/348,630.75 = 348,630.75/x
  3. Step 3: Cross multiply
    238,995x = 348,630.75 × 348,630.75
  4. Step 4: Simplify right side
    238,995x = 121,543,399,845.56
  5. Step 5: Solve for x
    x = 121,543,399,845.56/238,995
  6. Step 6: Final answer
    x = 508,560.43

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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.