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Finding the Third Proportional to 110,309 and 238,114

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Solution

The third proportional to 110,309 and 238,114 is: 513,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,309 : 238,114 = 238,114 : x
  2. Step 2: Convert to fraction form
    110,309/238,114 = 238,114/x
  3. Step 3: Cross multiply
    110,309x = 238,114 × 238,114
  4. Step 4: Simplify right side
    110,309x = 56,698,276,996
  5. Step 5: Solve for x
    x = 56,698,276,996/110,309
  6. Step 6: Final answer
    x = 513,995.02

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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.