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Finding the Third Proportional to 109,215 and 238,635

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Solution

The third proportional to 109,215 and 238,635 is: 521,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,215 : 238,635 = 238,635 : x
  2. Step 2: Convert to fraction form
    109,215/238,635 = 238,635/x
  3. Step 3: Cross multiply
    109,215x = 238,635 × 238,635
  4. Step 4: Simplify right side
    109,215x = 56,946,663,225
  5. Step 5: Solve for x
    x = 56,946,663,225/109,215
  6. Step 6: Final answer
    x = 521,417.97

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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.