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Finding the Third Proportional to 189,360.28 and 414,347.91

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Solution

The third proportional to 189,360.28 and 414,347.91 is: 906,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,360.28 : 414,347.91 = 414,347.91 : x
  2. Step 2: Convert to fraction form
    189,360.28/414,347.91 = 414,347.91/x
  3. Step 3: Cross multiply
    189,360.28x = 414,347.91 × 414,347.91
  4. Step 4: Simplify right side
    189,360.28x = 171,684,187,413.76
  5. Step 5: Solve for x
    x = 171,684,187,413.76/189,360.28
  6. Step 6: Final answer
    x = 906,653.64

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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.