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Finding the Third Proportional to 192,054 and 290,734.50

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Solution

The third proportional to 192,054 and 290,734.50 is: 440,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,054 : 290,734.50 = 290,734.50 : x
  2. Step 2: Convert to fraction form
    192,054/290,734.50 = 290,734.50/x
  3. Step 3: Cross multiply
    192,054x = 290,734.50 × 290,734.50
  4. Step 4: Simplify right side
    192,054x = 84,526,549,490.25
  5. Step 5: Solve for x
    x = 84,526,549,490.25/192,054
  6. Step 6: Final answer
    x = 440,118.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.