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Finding the Third Proportional to 191,841 and 300,942

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Solution

The third proportional to 191,841 and 300,942 is: 472,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,841 : 300,942 = 300,942 : x
  2. Step 2: Convert to fraction form
    191,841/300,942 = 300,942/x
  3. Step 3: Cross multiply
    191,841x = 300,942 × 300,942
  4. Step 4: Simplify right side
    191,841x = 90,566,087,364
  5. Step 5: Solve for x
    x = 90,566,087,364/191,841
  6. Step 6: Final answer
    x = 472,089.32

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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.