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Finding the Third Proportional to 190,041 and 413,159.50

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Solution

The third proportional to 190,041 and 413,159.50 is: 898,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,041 : 413,159.50 = 413,159.50 : x
  2. Step 2: Convert to fraction form
    190,041/413,159.50 = 413,159.50/x
  3. Step 3: Cross multiply
    190,041x = 413,159.50 × 413,159.50
  4. Step 4: Simplify right side
    190,041x = 170,700,772,440.25
  5. Step 5: Solve for x
    x = 170,700,772,440.25/190,041
  6. Step 6: Final answer
    x = 898,231.29

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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.