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Finding the Third Proportional to 139,408 and 296,798

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Solution

The third proportional to 139,408 and 296,798 is: 631,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,408 : 296,798 = 296,798 : x
  2. Step 2: Convert to fraction form
    139,408/296,798 = 296,798/x
  3. Step 3: Cross multiply
    139,408x = 296,798 × 296,798
  4. Step 4: Simplify right side
    139,408x = 88,089,052,804
  5. Step 5: Solve for x
    x = 88,089,052,804/139,408
  6. Step 6: Final answer
    x = 631,879.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.