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Finding the Third Proportional to 165,199 and 238,501

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Solution

The third proportional to 165,199 and 238,501 is: 344,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,199 : 238,501 = 238,501 : x
  2. Step 2: Convert to fraction form
    165,199/238,501 = 238,501/x
  3. Step 3: Cross multiply
    165,199x = 238,501 × 238,501
  4. Step 4: Simplify right side
    165,199x = 56,882,727,001
  5. Step 5: Solve for x
    x = 56,882,727,001/165,199
  6. Step 6: Final answer
    x = 344,328.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.