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Finding the Third Proportional to 201,088 and 298,897

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Solution

The third proportional to 201,088 and 298,897 is: 444,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,088 : 298,897 = 298,897 : x
  2. Step 2: Convert to fraction form
    201,088/298,897 = 298,897/x
  3. Step 3: Cross multiply
    201,088x = 298,897 × 298,897
  4. Step 4: Simplify right side
    201,088x = 89,339,416,609
  5. Step 5: Solve for x
    x = 89,339,416,609/201,088
  6. Step 6: Final answer
    x = 444,280.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.