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Finding the Third Proportional to 85,152 and 198,888

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Solution

The third proportional to 85,152 and 198,888 is: 464,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,152 : 198,888 = 198,888 : x
  2. Step 2: Convert to fraction form
    85,152/198,888 = 198,888/x
  3. Step 3: Cross multiply
    85,152x = 198,888 × 198,888
  4. Step 4: Simplify right side
    85,152x = 39,556,436,544
  5. Step 5: Solve for x
    x = 39,556,436,544/85,152
  6. Step 6: Final answer
    x = 464,539.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.