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Finding the Third Proportional to 143,722 and 302,341

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Solution

The third proportional to 143,722 and 302,341 is: 636,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,722 : 302,341 = 302,341 : x
  2. Step 2: Convert to fraction form
    143,722/302,341 = 302,341/x
  3. Step 3: Cross multiply
    143,722x = 302,341 × 302,341
  4. Step 4: Simplify right side
    143,722x = 91,410,080,281
  5. Step 5: Solve for x
    x = 91,410,080,281/143,722
  6. Step 6: Final answer
    x = 636,020.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.