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Finding the Third Proportional to 150,526 and 326,968

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Solution

The third proportional to 150,526 and 326,968 is: 710,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,526 : 326,968 = 326,968 : x
  2. Step 2: Convert to fraction form
    150,526/326,968 = 326,968/x
  3. Step 3: Cross multiply
    150,526x = 326,968 × 326,968
  4. Step 4: Simplify right side
    150,526x = 106,908,073,024
  5. Step 5: Solve for x
    x = 106,908,073,024/150,526
  6. Step 6: Final answer
    x = 710,229.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.