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Finding the Third Proportional to 82,528.50 and 180,231

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Solution

The third proportional to 82,528.50 and 180,231 is: 393,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,528.50 : 180,231 = 180,231 : x
  2. Step 2: Convert to fraction form
    82,528.50/180,231 = 180,231/x
  3. Step 3: Cross multiply
    82,528.50x = 180,231 × 180,231
  4. Step 4: Simplify right side
    82,528.50x = 32,483,213,361
  5. Step 5: Solve for x
    x = 32,483,213,361/82,528.50
  6. Step 6: Final answer
    x = 393,599.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.