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Finding the Third Proportional to 190,782 and 414,342

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Solution

The third proportional to 190,782 and 414,342 is: 899,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782 : 414,342 = 414,342 : x
  2. Step 2: Convert to fraction form
    190,782/414,342 = 414,342/x
  3. Step 3: Cross multiply
    190,782x = 414,342 × 414,342
  4. Step 4: Simplify right side
    190,782x = 171,679,292,964
  5. Step 5: Solve for x
    x = 171,679,292,964/190,782
  6. Step 6: Final answer
    x = 899,871.54

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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.