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Finding the Third Proportional to 176,538 and 392,307

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Solution

The third proportional to 176,538 and 392,307 is: 871,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,538 : 392,307 = 392,307 : x
  2. Step 2: Convert to fraction form
    176,538/392,307 = 392,307/x
  3. Step 3: Cross multiply
    176,538x = 392,307 × 392,307
  4. Step 4: Simplify right side
    176,538x = 153,904,782,249
  5. Step 5: Solve for x
    x = 153,904,782,249/176,538
  6. Step 6: Final answer
    x = 871,794.07

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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.