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Finding the Third Proportional to 191,370 and 413,360

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Solution

The third proportional to 191,370 and 413,360 is: 892,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,370 : 413,360 = 413,360 : x
  2. Step 2: Convert to fraction form
    191,370/413,360 = 413,360/x
  3. Step 3: Cross multiply
    191,370x = 413,360 × 413,360
  4. Step 4: Simplify right side
    191,370x = 170,866,489,600
  5. Step 5: Solve for x
    x = 170,866,489,600/191,370
  6. Step 6: Final answer
    x = 892,859.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.