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Finding the Third Proportional to 190,473.75 and 405,612

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Solution

The third proportional to 190,473.75 and 405,612 is: 863,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,473.75 : 405,612 = 405,612 : x
  2. Step 2: Convert to fraction form
    190,473.75/405,612 = 405,612/x
  3. Step 3: Cross multiply
    190,473.75x = 405,612 × 405,612
  4. Step 4: Simplify right side
    190,473.75x = 164,521,094,544
  5. Step 5: Solve for x
    x = 164,521,094,544/190,473.75
  6. Step 6: Final answer
    x = 863,746.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.