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Finding the Third Proportional to 159,946 and 370,278

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Solution

The third proportional to 159,946 and 370,278 is: 857,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,946 : 370,278 = 370,278 : x
  2. Step 2: Convert to fraction form
    159,946/370,278 = 370,278/x
  3. Step 3: Cross multiply
    159,946x = 370,278 × 370,278
  4. Step 4: Simplify right side
    159,946x = 137,105,797,284
  5. Step 5: Solve for x
    x = 137,105,797,284/159,946
  6. Step 6: Final answer
    x = 857,200.54

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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.