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Finding the Third Proportional to 190,062 and 408,202

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Solution

The third proportional to 190,062 and 408,202 is: 876,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,062 : 408,202 = 408,202 : x
  2. Step 2: Convert to fraction form
    190,062/408,202 = 408,202/x
  3. Step 3: Cross multiply
    190,062x = 408,202 × 408,202
  4. Step 4: Simplify right side
    190,062x = 166,628,872,804
  5. Step 5: Solve for x
    x = 166,628,872,804/190,062
  6. Step 6: Final answer
    x = 876,707.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.