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Finding the Third Proportional to 139,940 and 301,982

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Solution

The third proportional to 139,940 and 301,982 is: 651,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,940 : 301,982 = 301,982 : x
  2. Step 2: Convert to fraction form
    139,940/301,982 = 301,982/x
  3. Step 3: Cross multiply
    139,940x = 301,982 × 301,982
  4. Step 4: Simplify right side
    139,940x = 91,193,128,324
  5. Step 5: Solve for x
    x = 91,193,128,324/139,940
  6. Step 6: Final answer
    x = 651,658.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.