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Finding the Third Proportional to 187,347 and 285,714

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Solution

The third proportional to 187,347 and 285,714 is: 435,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,347 : 285,714 = 285,714 : x
  2. Step 2: Convert to fraction form
    187,347/285,714 = 285,714/x
  3. Step 3: Cross multiply
    187,347x = 285,714 × 285,714
  4. Step 4: Simplify right side
    187,347x = 81,632,489,796
  5. Step 5: Solve for x
    x = 81,632,489,796/187,347
  6. Step 6: Final answer
    x = 435,728.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.