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Finding the Third Proportional to 194,953 and 285,670

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Solution

The third proportional to 194,953 and 285,670 is: 418,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,953 : 285,670 = 285,670 : x
  2. Step 2: Convert to fraction form
    194,953/285,670 = 285,670/x
  3. Step 3: Cross multiply
    194,953x = 285,670 × 285,670
  4. Step 4: Simplify right side
    194,953x = 81,607,348,900
  5. Step 5: Solve for x
    x = 81,607,348,900/194,953
  6. Step 6: Final answer
    x = 418,600.12

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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.