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Finding the Third Proportional to 178,880 and 369,100

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Solution

The third proportional to 178,880 and 369,100 is: 761,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,880 : 369,100 = 369,100 : x
  2. Step 2: Convert to fraction form
    178,880/369,100 = 369,100/x
  3. Step 3: Cross multiply
    178,880x = 369,100 × 369,100
  4. Step 4: Simplify right side
    178,880x = 136,234,810,000
  5. Step 5: Solve for x
    x = 136,234,810,000/178,880
  6. Step 6: Final answer
    x = 761,598.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.