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Finding the Third Proportional to 140,970 and 303,946.13

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Solution

The third proportional to 140,970 and 303,946.13 is: 655,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,970 : 303,946.13 = 303,946.13 : x
  2. Step 2: Convert to fraction form
    140,970/303,946.13 = 303,946.13/x
  3. Step 3: Cross multiply
    140,970x = 303,946.13 × 303,946.13
  4. Step 4: Simplify right side
    140,970x = 92,383,246,902.52
  5. Step 5: Solve for x
    x = 92,383,246,902.52/140,970
  6. Step 6: Final answer
    x = 655,339.77

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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.