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Finding the Third Proportional to 179,964 and 387,576

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Solution

The third proportional to 179,964 and 387,576 is: 834,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,964 : 387,576 = 387,576 : x
  2. Step 2: Convert to fraction form
    179,964/387,576 = 387,576/x
  3. Step 3: Cross multiply
    179,964x = 387,576 × 387,576
  4. Step 4: Simplify right side
    179,964x = 150,215,155,776
  5. Step 5: Solve for x
    x = 150,215,155,776/179,964
  6. Step 6: Final answer
    x = 834,695.58

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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.