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Finding the Third Proportional to 139,840 and 209,757

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Solution

The third proportional to 139,840 and 209,757 is: 314,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,840 : 209,757 = 209,757 : x
  2. Step 2: Convert to fraction form
    139,840/209,757 = 209,757/x
  3. Step 3: Cross multiply
    139,840x = 209,757 × 209,757
  4. Step 4: Simplify right side
    139,840x = 43,997,999,049
  5. Step 5: Solve for x
    x = 43,997,999,049/139,840
  6. Step 6: Final answer
    x = 314,631.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.