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Finding the Third Proportional to 295.56 and 453.63

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Solution

The third proportional to 295.56 and 453.63 is: 696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.56 : 453.63 = 453.63 : x
  2. Step 2: Convert to fraction form
    295.56/453.63 = 453.63/x
  3. Step 3: Cross multiply
    295.56x = 453.63 × 453.63
  4. Step 4: Simplify right side
    295.56x = 205,775.64
  5. Step 5: Solve for x
    x = 205,775.64/295.56
  6. Step 6: Final answer
    x = 696.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.