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Finding the Third Proportional to 168,613 and 361,143

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Solution

The third proportional to 168,613 and 361,143 is: 773,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,613 : 361,143 = 361,143 : x
  2. Step 2: Convert to fraction form
    168,613/361,143 = 361,143/x
  3. Step 3: Cross multiply
    168,613x = 361,143 × 361,143
  4. Step 4: Simplify right side
    168,613x = 130,424,266,449
  5. Step 5: Solve for x
    x = 130,424,266,449/168,613
  6. Step 6: Final answer
    x = 773,512.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.