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Finding the Third Proportional to 159,965.50 and 370,329.75

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Solution

The third proportional to 159,965.50 and 370,329.75 is: 857,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,965.50 : 370,329.75 = 370,329.75 : x
  2. Step 2: Convert to fraction form
    159,965.50/370,329.75 = 370,329.75/x
  3. Step 3: Cross multiply
    159,965.50x = 370,329.75 × 370,329.75
  4. Step 4: Simplify right side
    159,965.50x = 137,144,123,735.06
  5. Step 5: Solve for x
    x = 137,144,123,735.06/159,965.50
  6. Step 6: Final answer
    x = 857,335.64

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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.