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Finding the Third Proportional to 166,294 and 317,278

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Solution

The third proportional to 166,294 and 317,278 is: 605,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,294 : 317,278 = 317,278 : x
  2. Step 2: Convert to fraction form
    166,294/317,278 = 317,278/x
  3. Step 3: Cross multiply
    166,294x = 317,278 × 317,278
  4. Step 4: Simplify right side
    166,294x = 100,665,329,284
  5. Step 5: Solve for x
    x = 100,665,329,284/166,294
  6. Step 6: Final answer
    x = 605,345.53

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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.