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Finding the Third Proportional to 147,966 and 326,095

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Solution

The third proportional to 147,966 and 326,095 is: 718,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,966 : 326,095 = 326,095 : x
  2. Step 2: Convert to fraction form
    147,966/326,095 = 326,095/x
  3. Step 3: Cross multiply
    147,966x = 326,095 × 326,095
  4. Step 4: Simplify right side
    147,966x = 106,337,949,025
  5. Step 5: Solve for x
    x = 106,337,949,025/147,966
  6. Step 6: Final answer
    x = 718,664.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.