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Finding the Third Proportional to 167,184 and 294,732

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Solution

The third proportional to 167,184 and 294,732 is: 519,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,184 : 294,732 = 294,732 : x
  2. Step 2: Convert to fraction form
    167,184/294,732 = 294,732/x
  3. Step 3: Cross multiply
    167,184x = 294,732 × 294,732
  4. Step 4: Simplify right side
    167,184x = 86,866,951,824
  5. Step 5: Solve for x
    x = 86,866,951,824/167,184
  6. Step 6: Final answer
    x = 519,588.91

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.