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Finding the Third Proportional to 173,621 and 260,894

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Solution

The third proportional to 173,621 and 260,894 is: 392,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,621 : 260,894 = 260,894 : x
  2. Step 2: Convert to fraction form
    173,621/260,894 = 260,894/x
  3. Step 3: Cross multiply
    173,621x = 260,894 × 260,894
  4. Step 4: Simplify right side
    173,621x = 68,065,679,236
  5. Step 5: Solve for x
    x = 68,065,679,236/173,621
  6. Step 6: Final answer
    x = 392,035.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.