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Finding the Third Proportional to 159,975 and 370,352.25

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Solution

The third proportional to 159,975 and 370,352.25 is: 857,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,975 : 370,352.25 = 370,352.25 : x
  2. Step 2: Convert to fraction form
    159,975/370,352.25 = 370,352.25/x
  3. Step 3: Cross multiply
    159,975x = 370,352.25 × 370,352.25
  4. Step 4: Simplify right side
    159,975x = 137,160,789,080.06
  5. Step 5: Solve for x
    x = 137,160,789,080.06/159,975
  6. Step 6: Final answer
    x = 857,388.90

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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.