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Finding the Third Proportional to 545.38 and 1,177.94

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Solution

The third proportional to 545.38 and 1,177.94 is: 2,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.38 : 1,177.94 = 1,177.94 : x
  2. Step 2: Convert to fraction form
    545.38/1,177.94 = 1,177.94/x
  3. Step 3: Cross multiply
    545.38x = 1,177.94 × 1,177.94
  4. Step 4: Simplify right side
    545.38x = 1,387,536.75
  5. Step 5: Solve for x
    x = 1,387,536.75/545.38
  6. Step 6: Final answer
    x = 2,544.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.