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Finding the Third Proportional to 140,981 and 303,966.50

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Solution

The third proportional to 140,981 and 303,966.50 is: 655,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,981 : 303,966.50 = 303,966.50 : x
  2. Step 2: Convert to fraction form
    140,981/303,966.50 = 303,966.50/x
  3. Step 3: Cross multiply
    140,981x = 303,966.50 × 303,966.50
  4. Step 4: Simplify right side
    140,981x = 92,395,633,122.25
  5. Step 5: Solve for x
    x = 92,395,633,122.25/140,981
  6. Step 6: Final answer
    x = 655,376.49

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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.