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Finding the Third Proportional to 179,212 and 264,732

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Solution

The third proportional to 179,212 and 264,732 is: 391,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,212 : 264,732 = 264,732 : x
  2. Step 2: Convert to fraction form
    179,212/264,732 = 264,732/x
  3. Step 3: Cross multiply
    179,212x = 264,732 × 264,732
  4. Step 4: Simplify right side
    179,212x = 70,083,031,824
  5. Step 5: Solve for x
    x = 70,083,031,824/179,212
  6. Step 6: Final answer
    x = 391,062.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.