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Finding the Third Proportional to 217,762 and 342,196

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Solution

The third proportional to 217,762 and 342,196 is: 537,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,762 : 342,196 = 342,196 : x
  2. Step 2: Convert to fraction form
    217,762/342,196 = 342,196/x
  3. Step 3: Cross multiply
    217,762x = 342,196 × 342,196
  4. Step 4: Simplify right side
    217,762x = 117,098,102,416
  5. Step 5: Solve for x
    x = 117,098,102,416/217,762
  6. Step 6: Final answer
    x = 537,734.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.