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Finding the Third Proportional to 190,952 and 418,192

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Solution

The third proportional to 190,952 and 418,192 is: 915,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,952 : 418,192 = 418,192 : x
  2. Step 2: Convert to fraction form
    190,952/418,192 = 418,192/x
  3. Step 3: Cross multiply
    190,952x = 418,192 × 418,192
  4. Step 4: Simplify right side
    190,952x = 174,884,548,864
  5. Step 5: Solve for x
    x = 174,884,548,864/190,952
  6. Step 6: Final answer
    x = 915,856.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.