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Finding the Third Proportional to 545.06 and 1,160.16

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Solution

The third proportional to 545.06 and 1,160.16 is: 2,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 1,160.16 = 1,160.16 : x
  2. Step 2: Convert to fraction form
    545.06/1,160.16 = 1,160.16/x
  3. Step 3: Cross multiply
    545.06x = 1,160.16 × 1,160.16
  4. Step 4: Simplify right side
    545.06x = 1,345,962.52
  5. Step 5: Solve for x
    x = 1,345,962.52/545.06
  6. Step 6: Final answer
    x = 2,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.