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Finding the Third Proportional to 84,525 and 178,482

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Solution

The third proportional to 84,525 and 178,482 is: 376,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,525 : 178,482 = 178,482 : x
  2. Step 2: Convert to fraction form
    84,525/178,482 = 178,482/x
  3. Step 3: Cross multiply
    84,525x = 178,482 × 178,482
  4. Step 4: Simplify right side
    84,525x = 31,855,824,324
  5. Step 5: Solve for x
    x = 31,855,824,324/84,525
  6. Step 6: Final answer
    x = 376,880.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.