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Finding the Third Proportional to 194,202 and 415,390

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Solution

The third proportional to 194,202 and 415,390 is: 888,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,202 : 415,390 = 415,390 : x
  2. Step 2: Convert to fraction form
    194,202/415,390 = 415,390/x
  3. Step 3: Cross multiply
    194,202x = 415,390 × 415,390
  4. Step 4: Simplify right side
    194,202x = 172,548,852,100
  5. Step 5: Solve for x
    x = 172,548,852,100/194,202
  6. Step 6: Final answer
    x = 888,501.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.