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Finding the Third Proportional to 110,240 and 237,652

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Solution

The third proportional to 110,240 and 237,652 is: 512,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,240 : 237,652 = 237,652 : x
  2. Step 2: Convert to fraction form
    110,240/237,652 = 237,652/x
  3. Step 3: Cross multiply
    110,240x = 237,652 × 237,652
  4. Step 4: Simplify right side
    110,240x = 56,478,473,104
  5. Step 5: Solve for x
    x = 56,478,473,104/110,240
  6. Step 6: Final answer
    x = 512,322.87

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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.