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Finding the Third Proportional to 109,309.50 and 239,058

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Solution

The third proportional to 109,309.50 and 239,058 is: 522,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,309.50 : 239,058 = 239,058 : x
  2. Step 2: Convert to fraction form
    109,309.50/239,058 = 239,058/x
  3. Step 3: Cross multiply
    109,309.50x = 239,058 × 239,058
  4. Step 4: Simplify right side
    109,309.50x = 57,148,727,364
  5. Step 5: Solve for x
    x = 57,148,727,364/109,309.50
  6. Step 6: Final answer
    x = 522,815.74

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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.