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Finding the Third Proportional to 140,062 and 209,598

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Solution

The third proportional to 140,062 and 209,598 is: 313,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,062 : 209,598 = 209,598 : x
  2. Step 2: Convert to fraction form
    140,062/209,598 = 209,598/x
  3. Step 3: Cross multiply
    140,062x = 209,598 × 209,598
  4. Step 4: Simplify right side
    140,062x = 43,931,321,604
  5. Step 5: Solve for x
    x = 43,931,321,604/140,062
  6. Step 6: Final answer
    x = 313,656.25

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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.