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Finding the Third Proportional to 190,533 and 406,374

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Solution

The third proportional to 190,533 and 406,374 is: 866,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,533 : 406,374 = 406,374 : x
  2. Step 2: Convert to fraction form
    190,533/406,374 = 406,374/x
  3. Step 3: Cross multiply
    190,533x = 406,374 × 406,374
  4. Step 4: Simplify right side
    190,533x = 165,139,827,876
  5. Step 5: Solve for x
    x = 165,139,827,876/190,533
  6. Step 6: Final answer
    x = 866,725.60

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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.