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Finding the Third Proportional to 159,962 and 370,321

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Solution

The third proportional to 159,962 and 370,321 is: 857,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,962 : 370,321 = 370,321 : x
  2. Step 2: Convert to fraction form
    159,962/370,321 = 370,321/x
  3. Step 3: Cross multiply
    159,962x = 370,321 × 370,321
  4. Step 4: Simplify right side
    159,962x = 137,137,643,041
  5. Step 5: Solve for x
    x = 137,137,643,041/159,962
  6. Step 6: Final answer
    x = 857,313.88

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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.