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Finding the Third Proportional to 119,244 and 264,732

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Solution

The third proportional to 119,244 and 264,732 is: 587,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,244 : 264,732 = 264,732 : x
  2. Step 2: Convert to fraction form
    119,244/264,732 = 264,732/x
  3. Step 3: Cross multiply
    119,244x = 264,732 × 264,732
  4. Step 4: Simplify right side
    119,244x = 70,083,031,824
  5. Step 5: Solve for x
    x = 70,083,031,824/119,244
  6. Step 6: Final answer
    x = 587,727.95

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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.