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Finding the Third Proportional to 110,570 and 238,420

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Solution

The third proportional to 110,570 and 238,420 is: 514,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,570 : 238,420 = 238,420 : x
  2. Step 2: Convert to fraction form
    110,570/238,420 = 238,420/x
  3. Step 3: Cross multiply
    110,570x = 238,420 × 238,420
  4. Step 4: Simplify right side
    110,570x = 56,844,096,400
  5. Step 5: Solve for x
    x = 56,844,096,400/110,570
  6. Step 6: Final answer
    x = 514,100.54

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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.