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Finding the Third Proportional to 172,195.88 and 377,622

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Solution

The third proportional to 172,195.88 and 377,622 is: 828,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,195.88 : 377,622 = 377,622 : x
  2. Step 2: Convert to fraction form
    172,195.88/377,622 = 377,622/x
  3. Step 3: Cross multiply
    172,195.88x = 377,622 × 377,622
  4. Step 4: Simplify right side
    172,195.88x = 142,598,374,884
  5. Step 5: Solve for x
    x = 142,598,374,884/172,195.88
  6. Step 6: Final answer
    x = 828,117.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.