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Finding the Third Proportional to 140,595 and 303,330

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Solution

The third proportional to 140,595 and 303,330 is: 654,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,595 : 303,330 = 303,330 : x
  2. Step 2: Convert to fraction form
    140,595/303,330 = 303,330/x
  3. Step 3: Cross multiply
    140,595x = 303,330 × 303,330
  4. Step 4: Simplify right side
    140,595x = 92,009,088,900
  5. Step 5: Solve for x
    x = 92,009,088,900/140,595
  6. Step 6: Final answer
    x = 654,426.47

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Why These Related Problems?

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