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Finding the Third Proportional to 190,565.16 and 414,344.11

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Solution

The third proportional to 190,565.16 and 414,344.11 is: 900,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,565.16 : 414,344.11 = 414,344.11 : x
  2. Step 2: Convert to fraction form
    190,565.16/414,344.11 = 414,344.11/x
  3. Step 3: Cross multiply
    190,565.16x = 414,344.11 × 414,344.11
  4. Step 4: Simplify right side
    190,565.16x = 171,681,040,973.76
  5. Step 5: Solve for x
    x = 171,681,040,973.76/190,565.16
  6. Step 6: Final answer
    x = 900,904.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.