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Finding the Third Proportional to 110,310.19 and 238,116.38

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Solution

The third proportional to 110,310.19 and 238,116.38 is: 513,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,310.19 : 238,116.38 = 238,116.38 : x
  2. Step 2: Convert to fraction form
    110,310.19/238,116.38 = 238,116.38/x
  3. Step 3: Cross multiply
    110,310.19x = 238,116.38 × 238,116.38
  4. Step 4: Simplify right side
    110,310.19x = 56,699,408,043.14
  5. Step 5: Solve for x
    x = 56,699,408,043.14/110,310.19
  6. Step 6: Final answer
    x = 513,999.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.