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Finding the Third Proportional to 248.95 and 545.95

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Solution

The third proportional to 248.95 and 545.95 is: 1,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.95 : 545.95 = 545.95 : x
  2. Step 2: Convert to fraction form
    248.95/545.95 = 545.95/x
  3. Step 3: Cross multiply
    248.95x = 545.95 × 545.95
  4. Step 4: Simplify right side
    248.95x = 298,060.42
  5. Step 5: Solve for x
    x = 298,060.42/248.95
  6. Step 6: Final answer
    x = 1,197.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.