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Finding the Third Proportional to 253.41 and 532.55

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Solution

The third proportional to 253.41 and 532.55 is: 1,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.41 : 532.55 = 532.55 : x
  2. Step 2: Convert to fraction form
    253.41/532.55 = 532.55/x
  3. Step 3: Cross multiply
    253.41x = 532.55 × 532.55
  4. Step 4: Simplify right side
    253.41x = 283,606.17
  5. Step 5: Solve for x
    x = 283,606.17/253.41
  6. Step 6: Final answer
    x = 1,119.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.