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Finding the Third Proportional to 159,968 and 370,336

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Solution

The third proportional to 159,968 and 370,336 is: 857,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,968 : 370,336 = 370,336 : x
  2. Step 2: Convert to fraction form
    159,968/370,336 = 370,336/x
  3. Step 3: Cross multiply
    159,968x = 370,336 × 370,336
  4. Step 4: Simplify right side
    159,968x = 137,148,752,896
  5. Step 5: Solve for x
    x = 137,148,752,896/159,968
  6. Step 6: Final answer
    x = 857,351.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.