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Finding the Third Proportional to 182,511 and 393,103.13

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Solution

The third proportional to 182,511 and 393,103.13 is: 846,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,511 : 393,103.13 = 393,103.13 : x
  2. Step 2: Convert to fraction form
    182,511/393,103.13 = 393,103.13/x
  3. Step 3: Cross multiply
    182,511x = 393,103.13 × 393,103.13
  4. Step 4: Simplify right side
    182,511x = 154,530,066,884.77
  5. Step 5: Solve for x
    x = 154,530,066,884.77/182,511
  6. Step 6: Final answer
    x = 846,689.06

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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.