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Finding the Third Proportional to 110,364.75 and 238,215.38

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Solution

The third proportional to 110,364.75 and 238,215.38 is: 514,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,364.75 : 238,215.38 = 238,215.38 : x
  2. Step 2: Convert to fraction form
    110,364.75/238,215.38 = 238,215.38/x
  3. Step 3: Cross multiply
    110,364.75x = 238,215.38 × 238,215.38
  4. Step 4: Simplify right side
    110,364.75x = 56,746,564,886.39
  5. Step 5: Solve for x
    x = 56,746,564,886.39/110,364.75
  6. Step 6: Final answer
    x = 514,172.91

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