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Finding the Third Proportional to 109,810 and 239,758

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Solution

The third proportional to 109,810 and 239,758 is: 523,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,810 : 239,758 = 239,758 : x
  2. Step 2: Convert to fraction form
    109,810/239,758 = 239,758/x
  3. Step 3: Cross multiply
    109,810x = 239,758 × 239,758
  4. Step 4: Simplify right side
    109,810x = 57,483,898,564
  5. Step 5: Solve for x
    x = 57,483,898,564/109,810
  6. Step 6: Final answer
    x = 523,485.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.