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Finding the Third Proportional to 110,421 and 238,324

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Solution

The third proportional to 110,421 and 238,324 is: 514,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,421 : 238,324 = 238,324 : x
  2. Step 2: Convert to fraction form
    110,421/238,324 = 238,324/x
  3. Step 3: Cross multiply
    110,421x = 238,324 × 238,324
  4. Step 4: Simplify right side
    110,421x = 56,798,328,976
  5. Step 5: Solve for x
    x = 56,798,328,976/110,421
  6. Step 6: Final answer
    x = 514,379.77

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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.