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Finding the Third Proportional to 159,735 and 344,073

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Solution

The third proportional to 159,735 and 344,073 is: 741,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,735 : 344,073 = 344,073 : x
  2. Step 2: Convert to fraction form
    159,735/344,073 = 344,073/x
  3. Step 3: Cross multiply
    159,735x = 344,073 × 344,073
  4. Step 4: Simplify right side
    159,735x = 118,386,229,329
  5. Step 5: Solve for x
    x = 118,386,229,329/159,735
  6. Step 6: Final answer
    x = 741,141.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.