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Finding the Third Proportional to 190,336.50 and 413,478

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Solution

The third proportional to 190,336.50 and 413,478 is: 898,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,336.50 : 413,478 = 413,478 : x
  2. Step 2: Convert to fraction form
    190,336.50/413,478 = 413,478/x
  3. Step 3: Cross multiply
    190,336.50x = 413,478 × 413,478
  4. Step 4: Simplify right side
    190,336.50x = 170,964,056,484
  5. Step 5: Solve for x
    x = 170,964,056,484/190,336.50
  6. Step 6: Final answer
    x = 898,220.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.