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Finding the Third Proportional to 191,176 and 286,834

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Solution

The third proportional to 191,176 and 286,834 is: 430,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,176 : 286,834 = 286,834 : x
  2. Step 2: Convert to fraction form
    191,176/286,834 = 286,834/x
  3. Step 3: Cross multiply
    191,176x = 286,834 × 286,834
  4. Step 4: Simplify right side
    191,176x = 82,273,743,556
  5. Step 5: Solve for x
    x = 82,273,743,556/191,176
  6. Step 6: Final answer
    x = 430,356.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.