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Finding the Third Proportional to 150,524 and 326,964

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Solution

The third proportional to 150,524 and 326,964 is: 710,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,524 : 326,964 = 326,964 : x
  2. Step 2: Convert to fraction form
    150,524/326,964 = 326,964/x
  3. Step 3: Cross multiply
    150,524x = 326,964 × 326,964
  4. Step 4: Simplify right side
    150,524x = 106,905,457,296
  5. Step 5: Solve for x
    x = 106,905,457,296/150,524
  6. Step 6: Final answer
    x = 710,222.01

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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.