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Finding the Third Proportional to 112,856 and 242,704

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Solution

The third proportional to 112,856 and 242,704 is: 521,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,856 : 242,704 = 242,704 : x
  2. Step 2: Convert to fraction form
    112,856/242,704 = 242,704/x
  3. Step 3: Cross multiply
    112,856x = 242,704 × 242,704
  4. Step 4: Simplify right side
    112,856x = 58,905,231,616
  5. Step 5: Solve for x
    x = 58,905,231,616/112,856
  6. Step 6: Final answer
    x = 521,950.38

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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.