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Finding the Third Proportional to 139,396 and 301,832

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Solution

The third proportional to 139,396 and 301,832 is: 653,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,396 : 301,832 = 301,832 : x
  2. Step 2: Convert to fraction form
    139,396/301,832 = 301,832/x
  3. Step 3: Cross multiply
    139,396x = 301,832 × 301,832
  4. Step 4: Simplify right side
    139,396x = 91,102,556,224
  5. Step 5: Solve for x
    x = 91,102,556,224/139,396
  6. Step 6: Final answer
    x = 653,552.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.