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Finding the Third Proportional to 171,693 and 372,940.13

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Solution

The third proportional to 171,693 and 372,940.13 is: 810,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,693 : 372,940.13 = 372,940.13 : x
  2. Step 2: Convert to fraction form
    171,693/372,940.13 = 372,940.13/x
  3. Step 3: Cross multiply
    171,693x = 372,940.13 × 372,940.13
  4. Step 4: Simplify right side
    171,693x = 139,084,336,835.02
  5. Step 5: Solve for x
    x = 139,084,336,835.02/171,693
  6. Step 6: Final answer
    x = 810,075.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.