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Finding the Third Proportional to 180,330 and 280,700

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Solution

The third proportional to 180,330 and 280,700 is: 436,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,330 : 280,700 = 280,700 : x
  2. Step 2: Convert to fraction form
    180,330/280,700 = 280,700/x
  3. Step 3: Cross multiply
    180,330x = 280,700 × 280,700
  4. Step 4: Simplify right side
    180,330x = 78,792,490,000
  5. Step 5: Solve for x
    x = 78,792,490,000/180,330
  6. Step 6: Final answer
    x = 436,935.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.