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Finding the Third Proportional to 190,900 and 413,264

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Solution

The third proportional to 190,900 and 413,264 is: 894,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,900 : 413,264 = 413,264 : x
  2. Step 2: Convert to fraction form
    190,900/413,264 = 413,264/x
  3. Step 3: Cross multiply
    190,900x = 413,264 × 413,264
  4. Step 4: Simplify right side
    190,900x = 170,787,133,696
  5. Step 5: Solve for x
    x = 170,787,133,696/190,900
  6. Step 6: Final answer
    x = 894,641.87

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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.