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Finding the Third Proportional to 85,248 and 179,334

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Solution

The third proportional to 85,248 and 179,334 is: 377,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,248 : 179,334 = 179,334 : x
  2. Step 2: Convert to fraction form
    85,248/179,334 = 179,334/x
  3. Step 3: Cross multiply
    85,248x = 179,334 × 179,334
  4. Step 4: Simplify right side
    85,248x = 32,160,683,556
  5. Step 5: Solve for x
    x = 32,160,683,556/85,248
  6. Step 6: Final answer
    x = 377,260.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.