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Finding the Third Proportional to 235.13 and 545.34

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Solution

The third proportional to 235.13 and 545.34 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.13 : 545.34 = 545.34 : x
  2. Step 2: Convert to fraction form
    235.13/545.34 = 545.34/x
  3. Step 3: Cross multiply
    235.13x = 545.34 × 545.34
  4. Step 4: Simplify right side
    235.13x = 297,399.81
  5. Step 5: Solve for x
    x = 297,399.81/235.13
  6. Step 6: Final answer
    x = 1,264.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.