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Finding the Third Proportional to 175,172 and 377,992

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Solution

The third proportional to 175,172 and 377,992 is: 815,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,172 : 377,992 = 377,992 : x
  2. Step 2: Convert to fraction form
    175,172/377,992 = 377,992/x
  3. Step 3: Cross multiply
    175,172x = 377,992 × 377,992
  4. Step 4: Simplify right side
    175,172x = 142,877,952,064
  5. Step 5: Solve for x
    x = 142,877,952,064/175,172
  6. Step 6: Final answer
    x = 815,643.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.