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Finding the Third Proportional to 143,235 and 315,061

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Solution

The third proportional to 143,235 and 315,061 is: 693,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,235 : 315,061 = 315,061 : x
  2. Step 2: Convert to fraction form
    143,235/315,061 = 315,061/x
  3. Step 3: Cross multiply
    143,235x = 315,061 × 315,061
  4. Step 4: Simplify right side
    143,235x = 99,263,433,721
  5. Step 5: Solve for x
    x = 99,263,433,721/143,235
  6. Step 6: Final answer
    x = 693,011.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.