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Finding the Third Proportional to 173,416 and 372,704

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Solution

The third proportional to 173,416 and 372,704 is: 801,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,416 : 372,704 = 372,704 : x
  2. Step 2: Convert to fraction form
    173,416/372,704 = 372,704/x
  3. Step 3: Cross multiply
    173,416x = 372,704 × 372,704
  4. Step 4: Simplify right side
    173,416x = 138,908,271,616
  5. Step 5: Solve for x
    x = 138,908,271,616/173,416
  6. Step 6: Final answer
    x = 801,011.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.