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Finding the Third Proportional to 155,856 and 339,030

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Solution

The third proportional to 155,856 and 339,030 is: 737,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,856 : 339,030 = 339,030 : x
  2. Step 2: Convert to fraction form
    155,856/339,030 = 339,030/x
  3. Step 3: Cross multiply
    155,856x = 339,030 × 339,030
  4. Step 4: Simplify right side
    155,856x = 114,941,340,900
  5. Step 5: Solve for x
    x = 114,941,340,900/155,856
  6. Step 6: Final answer
    x = 737,484.22

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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.