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Finding the Third Proportional to 191,754 and 300,186

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Solution

The third proportional to 191,754 and 300,186 is: 469,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,754 : 300,186 = 300,186 : x
  2. Step 2: Convert to fraction form
    191,754/300,186 = 300,186/x
  3. Step 3: Cross multiply
    191,754x = 300,186 × 300,186
  4. Step 4: Simplify right side
    191,754x = 90,111,634,596
  5. Step 5: Solve for x
    x = 90,111,634,596/191,754
  6. Step 6: Final answer
    x = 469,933.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.