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Finding the Third Proportional to 109,212 and 238,944

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Solution

The third proportional to 109,212 and 238,944 is: 522,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212 : 238,944 = 238,944 : x
  2. Step 2: Convert to fraction form
    109,212/238,944 = 238,944/x
  3. Step 3: Cross multiply
    109,212x = 238,944 × 238,944
  4. Step 4: Simplify right side
    109,212x = 57,094,235,136
  5. Step 5: Solve for x
    x = 57,094,235,136/109,212
  6. Step 6: Final answer
    x = 522,783.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.