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Finding the Third Proportional to 157,869 and 326,970

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Solution

The third proportional to 157,869 and 326,970 is: 677,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,869 : 326,970 = 326,970 : x
  2. Step 2: Convert to fraction form
    157,869/326,970 = 326,970/x
  3. Step 3: Cross multiply
    157,869x = 326,970 × 326,970
  4. Step 4: Simplify right side
    157,869x = 106,909,380,900
  5. Step 5: Solve for x
    x = 106,909,380,900/157,869
  6. Step 6: Final answer
    x = 677,203.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.