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Finding the Third Proportional to 182,438 and 392,044

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Solution

The third proportional to 182,438 and 392,044 is: 842,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,438 : 392,044 = 392,044 : x
  2. Step 2: Convert to fraction form
    182,438/392,044 = 392,044/x
  3. Step 3: Cross multiply
    182,438x = 392,044 × 392,044
  4. Step 4: Simplify right side
    182,438x = 153,698,497,936
  5. Step 5: Solve for x
    x = 153,698,497,936/182,438
  6. Step 6: Final answer
    x = 842,469.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.