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Finding the Third Proportional to 191,118 and 296,531

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Solution

The third proportional to 191,118 and 296,531 is: 460,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,118 : 296,531 = 296,531 : x
  2. Step 2: Convert to fraction form
    191,118/296,531 = 296,531/x
  3. Step 3: Cross multiply
    191,118x = 296,531 × 296,531
  4. Step 4: Simplify right side
    191,118x = 87,930,633,961
  5. Step 5: Solve for x
    x = 87,930,633,961/191,118
  6. Step 6: Final answer
    x = 460,085.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.