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Finding the Third Proportional to 190,206 and 290,385

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Solution

The third proportional to 190,206 and 290,385 is: 443,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,206 : 290,385 = 290,385 : x
  2. Step 2: Convert to fraction form
    190,206/290,385 = 290,385/x
  3. Step 3: Cross multiply
    190,206x = 290,385 × 290,385
  4. Step 4: Simplify right side
    190,206x = 84,323,448,225
  5. Step 5: Solve for x
    x = 84,323,448,225/190,206
  6. Step 6: Final answer
    x = 443,326.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.