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Finding the Third Proportional to 254.71 and 555.77

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Solution

The third proportional to 254.71 and 555.77 is: 1,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.71 : 555.77 = 555.77 : x
  2. Step 2: Convert to fraction form
    254.71/555.77 = 555.77/x
  3. Step 3: Cross multiply
    254.71x = 555.77 × 555.77
  4. Step 4: Simplify right side
    254.71x = 308,877.60
  5. Step 5: Solve for x
    x = 308,877.60/254.71
  6. Step 6: Final answer
    x = 1,212.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.