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Finding the Third Proportional to 83,497.50 and 184,491

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Solution

The third proportional to 83,497.50 and 184,491 is: 407,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.50 : 184,491 = 184,491 : x
  2. Step 2: Convert to fraction form
    83,497.50/184,491 = 184,491/x
  3. Step 3: Cross multiply
    83,497.50x = 184,491 × 184,491
  4. Step 4: Simplify right side
    83,497.50x = 34,036,929,081
  5. Step 5: Solve for x
    x = 34,036,929,081/83,497.50
  6. Step 6: Final answer
    x = 407,640.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.