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Finding the Third Proportional to 130.63 and 280.94

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Solution

The third proportional to 130.63 and 280.94 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.63 : 280.94 = 280.94 : x
  2. Step 2: Convert to fraction form
    130.63/280.94 = 280.94/x
  3. Step 3: Cross multiply
    130.63x = 280.94 × 280.94
  4. Step 4: Simplify right side
    130.63x = 78,925.88
  5. Step 5: Solve for x
    x = 78,925.88/130.63
  6. Step 6: Final answer
    x = 604.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.