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Finding the Third Proportional to 160,729 and 350,032

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Solution

The third proportional to 160,729 and 350,032 is: 762,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,729 : 350,032 = 350,032 : x
  2. Step 2: Convert to fraction form
    160,729/350,032 = 350,032/x
  3. Step 3: Cross multiply
    160,729x = 350,032 × 350,032
  4. Step 4: Simplify right side
    160,729x = 122,522,401,024
  5. Step 5: Solve for x
    x = 122,522,401,024/160,729
  6. Step 6: Final answer
    x = 762,291.81

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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.