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Finding the Third Proportional to 140,529 and 303,490.50

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Solution

The third proportional to 140,529 and 303,490.50 is: 655,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,529 : 303,490.50 = 303,490.50 : x
  2. Step 2: Convert to fraction form
    140,529/303,490.50 = 303,490.50/x
  3. Step 3: Cross multiply
    140,529x = 303,490.50 × 303,490.50
  4. Step 4: Simplify right side
    140,529x = 92,106,483,590.25
  5. Step 5: Solve for x
    x = 92,106,483,590.25/140,529
  6. Step 6: Final answer
    x = 655,426.88

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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.