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Finding the Third Proportional to 190,083 and 417,966

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Solution

The third proportional to 190,083 and 417,966 is: 919,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,083 : 417,966 = 417,966 : x
  2. Step 2: Convert to fraction form
    190,083/417,966 = 417,966/x
  3. Step 3: Cross multiply
    190,083x = 417,966 × 417,966
  4. Step 4: Simplify right side
    190,083x = 174,695,577,156
  5. Step 5: Solve for x
    x = 174,695,577,156/190,083
  6. Step 6: Final answer
    x = 919,048.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.