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Finding the Third Proportional to 195,054.75 and 405,573.75

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Solution

The third proportional to 195,054.75 and 405,573.75 is: 843,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,054.75 : 405,573.75 = 405,573.75 : x
  2. Step 2: Convert to fraction form
    195,054.75/405,573.75 = 405,573.75/x
  3. Step 3: Cross multiply
    195,054.75x = 405,573.75 × 405,573.75
  4. Step 4: Simplify right side
    195,054.75x = 164,490,066,689.06
  5. Step 5: Solve for x
    x = 164,490,066,689.06/195,054.75
  6. Step 6: Final answer
    x = 843,302.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.