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Finding the Third Proportional to 250.59 and 546.66

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Solution

The third proportional to 250.59 and 546.66 is: 1,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.59 : 546.66 = 546.66 : x
  2. Step 2: Convert to fraction form
    250.59/546.66 = 546.66/x
  3. Step 3: Cross multiply
    250.59x = 546.66 × 546.66
  4. Step 4: Simplify right side
    250.59x = 298,833.06
  5. Step 5: Solve for x
    x = 298,833.06/250.59
  6. Step 6: Final answer
    x = 1,192.50

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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.