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Finding the Third Proportional to 139,298 and 301,924

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Solution

The third proportional to 139,298 and 301,924 is: 654,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,298 : 301,924 = 301,924 : x
  2. Step 2: Convert to fraction form
    139,298/301,924 = 301,924/x
  3. Step 3: Cross multiply
    139,298x = 301,924 × 301,924
  4. Step 4: Simplify right side
    139,298x = 91,158,101,776
  5. Step 5: Solve for x
    x = 91,158,101,776/139,298
  6. Step 6: Final answer
    x = 654,410.70

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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.