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Finding the Third Proportional to 190,773.56 and 414,352.13

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Solution

The third proportional to 190,773.56 and 414,352.13 is: 899,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,773.56 : 414,352.13 = 414,352.13 : x
  2. Step 2: Convert to fraction form
    190,773.56/414,352.13 = 414,352.13/x
  3. Step 3: Cross multiply
    190,773.56x = 414,352.13 × 414,352.13
  4. Step 4: Simplify right side
    190,773.56x = 171,687,683,492.02
  5. Step 5: Solve for x
    x = 171,687,683,492.02/190,773.56
  6. Step 6: Final answer
    x = 899,955.33

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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.