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Finding the Third Proportional to 190,944 and 411,396

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Solution

The third proportional to 190,944 and 411,396 is: 886,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,944 : 411,396 = 411,396 : x
  2. Step 2: Convert to fraction form
    190,944/411,396 = 411,396/x
  3. Step 3: Cross multiply
    190,944x = 411,396 × 411,396
  4. Step 4: Simplify right side
    190,944x = 169,246,668,816
  5. Step 5: Solve for x
    x = 169,246,668,816/190,944
  6. Step 6: Final answer
    x = 886,368.09

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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.