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Finding the Third Proportional to 173,064 and 383,700

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Solution

The third proportional to 173,064 and 383,700 is: 850,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,064 : 383,700 = 383,700 : x
  2. Step 2: Convert to fraction form
    173,064/383,700 = 383,700/x
  3. Step 3: Cross multiply
    173,064x = 383,700 × 383,700
  4. Step 4: Simplify right side
    173,064x = 147,225,690,000
  5. Step 5: Solve for x
    x = 147,225,690,000/173,064
  6. Step 6: Final answer
    x = 850,700.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.