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Finding the Third Proportional to 159,813 and 334,935

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Solution

The third proportional to 159,813 and 334,935 is: 701,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,813 : 334,935 = 334,935 : x
  2. Step 2: Convert to fraction form
    159,813/334,935 = 334,935/x
  3. Step 3: Cross multiply
    159,813x = 334,935 × 334,935
  4. Step 4: Simplify right side
    159,813x = 112,181,454,225
  5. Step 5: Solve for x
    x = 112,181,454,225/159,813
  6. Step 6: Final answer
    x = 701,954.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.