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Finding the Third Proportional to 139,407 and 296,799

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Solution

The third proportional to 139,407 and 296,799 is: 631,888.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,407 : 296,799 = 296,799 : x
  2. Step 2: Convert to fraction form
    139,407/296,799 = 296,799/x
  3. Step 3: Cross multiply
    139,407x = 296,799 × 296,799
  4. Step 4: Simplify right side
    139,407x = 88,089,646,401
  5. Step 5: Solve for x
    x = 88,089,646,401/139,407
  6. Step 6: Final answer
    x = 631,888.26

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