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Finding the Third Proportional to 189,362.25 and 412,623

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Solution

The third proportional to 189,362.25 and 412,623 is: 899,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,362.25 : 412,623 = 412,623 : x
  2. Step 2: Convert to fraction form
    189,362.25/412,623 = 412,623/x
  3. Step 3: Cross multiply
    189,362.25x = 412,623 × 412,623
  4. Step 4: Simplify right side
    189,362.25x = 170,257,740,129
  5. Step 5: Solve for x
    x = 170,257,740,129/189,362.25
  6. Step 6: Final answer
    x = 899,111.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.