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Finding the Third Proportional to 116.63 and 253.22

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Solution

The third proportional to 116.63 and 253.22 is: 549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.63 : 253.22 = 253.22 : x
  2. Step 2: Convert to fraction form
    116.63/253.22 = 253.22/x
  3. Step 3: Cross multiply
    116.63x = 253.22 × 253.22
  4. Step 4: Simplify right side
    116.63x = 64,119.74
  5. Step 5: Solve for x
    x = 64,119.74/116.63
  6. Step 6: Final answer
    x = 549.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.