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Finding the Third Proportional to 189,357.75 and 412,614

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Solution

The third proportional to 189,357.75 and 412,614 is: 899,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,357.75 : 412,614 = 412,614 : x
  2. Step 2: Convert to fraction form
    189,357.75/412,614 = 412,614/x
  3. Step 3: Cross multiply
    189,357.75x = 412,614 × 412,614
  4. Step 4: Simplify right side
    189,357.75x = 170,250,312,996
  5. Step 5: Solve for x
    x = 170,250,312,996/189,357.75
  6. Step 6: Final answer
    x = 899,093.45

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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.