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Finding the Third Proportional to 174,733 and 372,361

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Solution

The third proportional to 174,733 and 372,361 is: 793,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,733 : 372,361 = 372,361 : x
  2. Step 2: Convert to fraction form
    174,733/372,361 = 372,361/x
  3. Step 3: Cross multiply
    174,733x = 372,361 × 372,361
  4. Step 4: Simplify right side
    174,733x = 138,652,714,321
  5. Step 5: Solve for x
    x = 138,652,714,321/174,733
  6. Step 6: Final answer
    x = 793,511.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.