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Finding the Third Proportional to 190,540 and 411,212

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Solution

The third proportional to 190,540 and 411,212 is: 887,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,540 : 411,212 = 411,212 : x
  2. Step 2: Convert to fraction form
    190,540/411,212 = 411,212/x
  3. Step 3: Cross multiply
    190,540x = 411,212 × 411,212
  4. Step 4: Simplify right side
    190,540x = 169,095,308,944
  5. Step 5: Solve for x
    x = 169,095,308,944/190,540
  6. Step 6: Final answer
    x = 887,453.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.