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Finding the Third Proportional to 139,804 and 301,856

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Solution

The third proportional to 139,804 and 301,856 is: 651,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,804 : 301,856 = 301,856 : x
  2. Step 2: Convert to fraction form
    139,804/301,856 = 301,856/x
  3. Step 3: Cross multiply
    139,804x = 301,856 × 301,856
  4. Step 4: Simplify right side
    139,804x = 91,117,044,736
  5. Step 5: Solve for x
    x = 91,117,044,736/139,804
  6. Step 6: Final answer
    x = 651,748.48

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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.