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Finding the Third Proportional to 181,300 and 392,732

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Solution

The third proportional to 181,300 and 392,732 is: 850,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,300 : 392,732 = 392,732 : x
  2. Step 2: Convert to fraction form
    181,300/392,732 = 392,732/x
  3. Step 3: Cross multiply
    181,300x = 392,732 × 392,732
  4. Step 4: Simplify right side
    181,300x = 154,238,423,824
  5. Step 5: Solve for x
    x = 154,238,423,824/181,300
  6. Step 6: Final answer
    x = 850,735.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.