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Finding the Third Proportional to 110,838.38 and 238,307.06

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Solution

The third proportional to 110,838.38 and 238,307.06 is: 512,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,838.38 : 238,307.06 = 238,307.06 : x
  2. Step 2: Convert to fraction form
    110,838.38/238,307.06 = 238,307.06/x
  3. Step 3: Cross multiply
    110,838.38x = 238,307.06 × 238,307.06
  4. Step 4: Simplify right side
    110,838.38x = 56,790,256,037.38
  5. Step 5: Solve for x
    x = 56,790,256,037.38/110,838.38
  6. Step 6: Final answer
    x = 512,369.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.