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Finding the Third Proportional to 85,849 and 185,248

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Solution

The third proportional to 85,849 and 185,248 is: 399,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,849 : 185,248 = 185,248 : x
  2. Step 2: Convert to fraction form
    85,849/185,248 = 185,248/x
  3. Step 3: Cross multiply
    85,849x = 185,248 × 185,248
  4. Step 4: Simplify right side
    85,849x = 34,316,821,504
  5. Step 5: Solve for x
    x = 34,316,821,504/85,849
  6. Step 6: Final answer
    x = 399,734.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.