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Finding the Third Proportional to 172,184 and 377,596

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Solution

The third proportional to 172,184 and 377,596 is: 828,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,184 : 377,596 = 377,596 : x
  2. Step 2: Convert to fraction form
    172,184/377,596 = 377,596/x
  3. Step 3: Cross multiply
    172,184x = 377,596 × 377,596
  4. Step 4: Simplify right side
    172,184x = 142,578,739,216
  5. Step 5: Solve for x
    x = 142,578,739,216/172,184
  6. Step 6: Final answer
    x = 828,060.33

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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.