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Finding the Third Proportional to 193,555 and 284,637

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Solution

The third proportional to 193,555 and 284,637 is: 418,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,555 : 284,637 = 284,637 : x
  2. Step 2: Convert to fraction form
    193,555/284,637 = 284,637/x
  3. Step 3: Cross multiply
    193,555x = 284,637 × 284,637
  4. Step 4: Simplify right side
    193,555x = 81,018,221,769
  5. Step 5: Solve for x
    x = 81,018,221,769/193,555
  6. Step 6: Final answer
    x = 418,579.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.