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Finding the Third Proportional to 146,405 and 214,023

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Solution

The third proportional to 146,405 and 214,023 is: 312,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,405 : 214,023 = 214,023 : x
  2. Step 2: Convert to fraction form
    146,405/214,023 = 214,023/x
  3. Step 3: Cross multiply
    146,405x = 214,023 × 214,023
  4. Step 4: Simplify right side
    146,405x = 45,805,844,529
  5. Step 5: Solve for x
    x = 45,805,844,529/146,405
  6. Step 6: Final answer
    x = 312,870.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.