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Finding the Third Proportional to 190,301.06 and 410,351.06

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Solution

The third proportional to 190,301.06 and 410,351.06 is: 884,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,301.06 : 410,351.06 = 410,351.06 : x
  2. Step 2: Convert to fraction form
    190,301.06/410,351.06 = 410,351.06/x
  3. Step 3: Cross multiply
    190,301.06x = 410,351.06 × 410,351.06
  4. Step 4: Simplify right side
    190,301.06x = 168,387,994,494.88
  5. Step 5: Solve for x
    x = 168,387,994,494.88/190,301.06
  6. Step 6: Final answer
    x = 884,850.52

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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.