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Finding the Third Proportional to 166,300 and 317,276

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Solution

The third proportional to 166,300 and 317,276 is: 605,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,300 : 317,276 = 317,276 : x
  2. Step 2: Convert to fraction form
    166,300/317,276 = 317,276/x
  3. Step 3: Cross multiply
    166,300x = 317,276 × 317,276
  4. Step 4: Simplify right side
    166,300x = 100,664,060,176
  5. Step 5: Solve for x
    x = 100,664,060,176/166,300
  6. Step 6: Final answer
    x = 605,316.06

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.