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Finding the Third Proportional to 159,974.16 and 350,080.31

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Solution

The third proportional to 159,974.16 and 350,080.31 is: 766,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,974.16 : 350,080.31 = 350,080.31 : x
  2. Step 2: Convert to fraction form
    159,974.16/350,080.31 = 350,080.31/x
  3. Step 3: Cross multiply
    159,974.16x = 350,080.31 × 350,080.31
  4. Step 4: Simplify right side
    159,974.16x = 122,556,225,200.10
  5. Step 5: Solve for x
    x = 122,556,225,200.10/159,974.16
  6. Step 6: Final answer
    x = 766,100.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.