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Finding the Third Proportional to 110,210 and 238,732

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Solution

The third proportional to 110,210 and 238,732 is: 517,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,210 : 238,732 = 238,732 : x
  2. Step 2: Convert to fraction form
    110,210/238,732 = 238,732/x
  3. Step 3: Cross multiply
    110,210x = 238,732 × 238,732
  4. Step 4: Simplify right side
    110,210x = 56,992,967,824
  5. Step 5: Solve for x
    x = 56,992,967,824/110,210
  6. Step 6: Final answer
    x = 517,130.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.