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Finding the Third Proportional to 192,586.31 and 429,430.13

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Solution

The third proportional to 192,586.31 and 429,430.13 is: 957,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,586.31 : 429,430.13 = 429,430.13 : x
  2. Step 2: Convert to fraction form
    192,586.31/429,430.13 = 429,430.13/x
  3. Step 3: Cross multiply
    192,586.31x = 429,430.13 × 429,430.13
  4. Step 4: Simplify right side
    192,586.31x = 184,410,232,257.52
  5. Step 5: Solve for x
    x = 184,410,232,257.52/192,586.31
  6. Step 6: Final answer
    x = 957,545.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.