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Finding the Third Proportional to 189,437.06 and 414,549.56

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Solution

The third proportional to 189,437.06 and 414,549.56 is: 907,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,437.06 : 414,549.56 = 414,549.56 : x
  2. Step 2: Convert to fraction form
    189,437.06/414,549.56 = 414,549.56/x
  3. Step 3: Cross multiply
    189,437.06x = 414,549.56 × 414,549.56
  4. Step 4: Simplify right side
    189,437.06x = 171,851,339,768.94
  5. Step 5: Solve for x
    x = 171,851,339,768.94/189,437.06
  6. Step 6: Final answer
    x = 907,168.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.