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Finding the Third Proportional to 190,785 and 414,348

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Solution

The third proportional to 190,785 and 414,348 is: 899,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,785 : 414,348 = 414,348 : x
  2. Step 2: Convert to fraction form
    190,785/414,348 = 414,348/x
  3. Step 3: Cross multiply
    190,785x = 414,348 × 414,348
  4. Step 4: Simplify right side
    190,785x = 171,684,265,104
  5. Step 5: Solve for x
    x = 171,684,265,104/190,785
  6. Step 6: Final answer
    x = 899,883.46

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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.