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Finding the Third Proportional to 163,211 and 346,015

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Solution

The third proportional to 163,211 and 346,015 is: 733,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,211 : 346,015 = 346,015 : x
  2. Step 2: Convert to fraction form
    163,211/346,015 = 346,015/x
  3. Step 3: Cross multiply
    163,211x = 346,015 × 346,015
  4. Step 4: Simplify right side
    163,211x = 119,726,380,225
  5. Step 5: Solve for x
    x = 119,726,380,225/163,211
  6. Step 6: Final answer
    x = 733,568.08

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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.