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Finding the Third Proportional to 191,951 and 300,429

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Solution

The third proportional to 191,951 and 300,429 is: 470,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,951 : 300,429 = 300,429 : x
  2. Step 2: Convert to fraction form
    191,951/300,429 = 300,429/x
  3. Step 3: Cross multiply
    191,951x = 300,429 × 300,429
  4. Step 4: Simplify right side
    191,951x = 90,257,584,041
  5. Step 5: Solve for x
    x = 90,257,584,041/191,951
  6. Step 6: Final answer
    x = 470,211.59

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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.