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Finding the Third Proportional to 138,358.13 and 211,552.31

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Solution

The third proportional to 138,358.13 and 211,552.31 is: 323,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,358.13 : 211,552.31 = 211,552.31 : x
  2. Step 2: Convert to fraction form
    138,358.13/211,552.31 = 211,552.31/x
  3. Step 3: Cross multiply
    138,358.13x = 211,552.31 × 211,552.31
  4. Step 4: Simplify right side
    138,358.13x = 44,754,380,924.10
  5. Step 5: Solve for x
    x = 44,754,380,924.10/138,358.13
  6. Step 6: Final answer
    x = 323,467.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.