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Finding the Third Proportional to 175,622 and 372,140

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Solution

The third proportional to 175,622 and 372,140 is: 788,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,622 : 372,140 = 372,140 : x
  2. Step 2: Convert to fraction form
    175,622/372,140 = 372,140/x
  3. Step 3: Cross multiply
    175,622x = 372,140 × 372,140
  4. Step 4: Simplify right side
    175,622x = 138,488,179,600
  5. Step 5: Solve for x
    x = 138,488,179,600/175,622
  6. Step 6: Final answer
    x = 788,558.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.