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Finding the Third Proportional to 165,411 and 350,235

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Solution

The third proportional to 165,411 and 350,235 is: 741,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,411 : 350,235 = 350,235 : x
  2. Step 2: Convert to fraction form
    165,411/350,235 = 350,235/x
  3. Step 3: Cross multiply
    165,411x = 350,235 × 350,235
  4. Step 4: Simplify right side
    165,411x = 122,664,555,225
  5. Step 5: Solve for x
    x = 122,664,555,225/165,411
  6. Step 6: Final answer
    x = 741,574.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.