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Finding the Third Proportional to 178,446 and 260,964

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Solution

The third proportional to 178,446 and 260,964 is: 381,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,446 : 260,964 = 260,964 : x
  2. Step 2: Convert to fraction form
    178,446/260,964 = 260,964/x
  3. Step 3: Cross multiply
    178,446x = 260,964 × 260,964
  4. Step 4: Simplify right side
    178,446x = 68,102,209,296
  5. Step 5: Solve for x
    x = 68,102,209,296/178,446
  6. Step 6: Final answer
    x = 381,640.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.