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Finding the Third Proportional to 190,785 and 414,373.50

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Solution

The third proportional to 190,785 and 414,373.50 is: 899,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,785 : 414,373.50 = 414,373.50 : x
  2. Step 2: Convert to fraction form
    190,785/414,373.50 = 414,373.50/x
  3. Step 3: Cross multiply
    190,785x = 414,373.50 × 414,373.50
  4. Step 4: Simplify right side
    190,785x = 171,705,397,502.25
  5. Step 5: Solve for x
    x = 171,705,397,502.25/190,785
  6. Step 6: Final answer
    x = 899,994.22

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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.