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Finding the Third Proportional to 173,905.50 and 276,639

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Solution

The third proportional to 173,905.50 and 276,639 is: 440,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,905.50 : 276,639 = 276,639 : x
  2. Step 2: Convert to fraction form
    173,905.50/276,639 = 276,639/x
  3. Step 3: Cross multiply
    173,905.50x = 276,639 × 276,639
  4. Step 4: Simplify right side
    173,905.50x = 76,529,136,321
  5. Step 5: Solve for x
    x = 76,529,136,321/173,905.50
  6. Step 6: Final answer
    x = 440,061.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.