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Finding the Third Proportional to 140,619 and 303,337.50

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Solution

The third proportional to 140,619 and 303,337.50 is: 654,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,619 : 303,337.50 = 303,337.50 : x
  2. Step 2: Convert to fraction form
    140,619/303,337.50 = 303,337.50/x
  3. Step 3: Cross multiply
    140,619x = 303,337.50 × 303,337.50
  4. Step 4: Simplify right side
    140,619x = 92,013,638,906.25
  5. Step 5: Solve for x
    x = 92,013,638,906.25/140,619
  6. Step 6: Final answer
    x = 654,347.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.