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Finding the Third Proportional to 90,479.50 and 178,688

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Solution

The third proportional to 90,479.50 and 178,688 is: 352,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,479.50 : 178,688 = 178,688 : x
  2. Step 2: Convert to fraction form
    90,479.50/178,688 = 178,688/x
  3. Step 3: Cross multiply
    90,479.50x = 178,688 × 178,688
  4. Step 4: Simplify right side
    90,479.50x = 31,929,401,344
  5. Step 5: Solve for x
    x = 31,929,401,344/90,479.50
  6. Step 6: Final answer
    x = 352,891.00

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.