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Finding the Third Proportional to 173,564 and 360,950

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Solution

The third proportional to 173,564 and 360,950 is: 750,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,564 : 360,950 = 360,950 : x
  2. Step 2: Convert to fraction form
    173,564/360,950 = 360,950/x
  3. Step 3: Cross multiply
    173,564x = 360,950 × 360,950
  4. Step 4: Simplify right side
    173,564x = 130,284,902,500
  5. Step 5: Solve for x
    x = 130,284,902,500/173,564
  6. Step 6: Final answer
    x = 750,644.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.