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Finding the Third Proportional to 164,288 and 353,112

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Solution

The third proportional to 164,288 and 353,112 is: 758,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,288 : 353,112 = 353,112 : x
  2. Step 2: Convert to fraction form
    164,288/353,112 = 353,112/x
  3. Step 3: Cross multiply
    164,288x = 353,112 × 353,112
  4. Step 4: Simplify right side
    164,288x = 124,688,084,544
  5. Step 5: Solve for x
    x = 124,688,084,544/164,288
  6. Step 6: Final answer
    x = 758,960.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.