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Finding the Third Proportional to 174,011 and 264,663

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Solution

The third proportional to 174,011 and 264,663 is: 402,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,011 : 264,663 = 264,663 : x
  2. Step 2: Convert to fraction form
    174,011/264,663 = 264,663/x
  3. Step 3: Cross multiply
    174,011x = 264,663 × 264,663
  4. Step 4: Simplify right side
    174,011x = 70,046,503,569
  5. Step 5: Solve for x
    x = 70,046,503,569/174,011
  6. Step 6: Final answer
    x = 402,540.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.