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Finding the Third Proportional to 160,719 and 350,010

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Solution

The third proportional to 160,719 and 350,010 is: 762,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,719 : 350,010 = 350,010 : x
  2. Step 2: Convert to fraction form
    160,719/350,010 = 350,010/x
  3. Step 3: Cross multiply
    160,719x = 350,010 × 350,010
  4. Step 4: Simplify right side
    160,719x = 122,507,000,100
  5. Step 5: Solve for x
    x = 122,507,000,100/160,719
  6. Step 6: Final answer
    x = 762,243.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.