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Finding the Third Proportional to 357.19 and 545.63

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Solution

The third proportional to 357.19 and 545.63 is: 833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.19 : 545.63 = 545.63 : x
  2. Step 2: Convert to fraction form
    357.19/545.63 = 545.63/x
  3. Step 3: Cross multiply
    357.19x = 545.63 × 545.63
  4. Step 4: Simplify right side
    357.19x = 297,706.64
  5. Step 5: Solve for x
    x = 297,706.64/357.19
  6. Step 6: Final answer
    x = 833.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.