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Finding the Third Proportional to 176,540 and 392,309.75

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Solution

The third proportional to 176,540 and 392,309.75 is: 871,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,540 : 392,309.75 = 392,309.75 : x
  2. Step 2: Convert to fraction form
    176,540/392,309.75 = 392,309.75/x
  3. Step 3: Cross multiply
    176,540x = 392,309.75 × 392,309.75
  4. Step 4: Simplify right side
    176,540x = 153,906,939,945.06
  5. Step 5: Solve for x
    x = 153,906,939,945.06/176,540
  6. Step 6: Final answer
    x = 871,796.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.