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Finding the Third Proportional to 199,564 and 298,558

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Solution

The third proportional to 199,564 and 298,558 is: 446,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564 : 298,558 = 298,558 : x
  2. Step 2: Convert to fraction form
    199,564/298,558 = 298,558/x
  3. Step 3: Cross multiply
    199,564x = 298,558 × 298,558
  4. Step 4: Simplify right side
    199,564x = 89,136,879,364
  5. Step 5: Solve for x
    x = 89,136,879,364/199,564
  6. Step 6: Final answer
    x = 446,658.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.