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Finding the Third Proportional to 190,586.25 and 406,505.25

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Solution

The third proportional to 190,586.25 and 406,505.25 is: 867,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,586.25 : 406,505.25 = 406,505.25 : x
  2. Step 2: Convert to fraction form
    190,586.25/406,505.25 = 406,505.25/x
  3. Step 3: Cross multiply
    190,586.25x = 406,505.25 × 406,505.25
  4. Step 4: Simplify right side
    190,586.25x = 165,246,518,277.56
  5. Step 5: Solve for x
    x = 165,246,518,277.56/190,586.25
  6. Step 6: Final answer
    x = 867,043.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.