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Finding the Third Proportional to 159,991.50 and 370,393.50

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Solution

The third proportional to 159,991.50 and 370,393.50 is: 857,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,991.50 : 370,393.50 = 370,393.50 : x
  2. Step 2: Convert to fraction form
    159,991.50/370,393.50 = 370,393.50/x
  3. Step 3: Cross multiply
    159,991.50x = 370,393.50 × 370,393.50
  4. Step 4: Simplify right side
    159,991.50x = 137,191,344,842.25
  5. Step 5: Solve for x
    x = 137,191,344,842.25/159,991.50
  6. Step 6: Final answer
    x = 857,491.46

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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.