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Finding the Third Proportional to 190,898 and 413,260

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Solution

The third proportional to 190,898 and 413,260 is: 894,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,898 : 413,260 = 413,260 : x
  2. Step 2: Convert to fraction form
    190,898/413,260 = 413,260/x
  3. Step 3: Cross multiply
    190,898x = 413,260 × 413,260
  4. Step 4: Simplify right side
    190,898x = 170,783,827,600
  5. Step 5: Solve for x
    x = 170,783,827,600/190,898
  6. Step 6: Final answer
    x = 894,633.93

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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.