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Finding the Third Proportional to 191,814 and 300,894

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Solution

The third proportional to 191,814 and 300,894 is: 472,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,814 : 300,894 = 300,894 : x
  2. Step 2: Convert to fraction form
    191,814/300,894 = 300,894/x
  3. Step 3: Cross multiply
    191,814x = 300,894 × 300,894
  4. Step 4: Simplify right side
    191,814x = 90,537,199,236
  5. Step 5: Solve for x
    x = 90,537,199,236/191,814
  6. Step 6: Final answer
    x = 472,005.17

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Why These Related Problems?

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