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Finding the Third Proportional to 159,032 and 337,024

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Solution

The third proportional to 159,032 and 337,024 is: 714,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,032 : 337,024 = 337,024 : x
  2. Step 2: Convert to fraction form
    159,032/337,024 = 337,024/x
  3. Step 3: Cross multiply
    159,032x = 337,024 × 337,024
  4. Step 4: Simplify right side
    159,032x = 113,585,176,576
  5. Step 5: Solve for x
    x = 113,585,176,576/159,032
  6. Step 6: Final answer
    x = 714,228.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.