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Finding the Third Proportional to 193,159 and 307,355

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Solution

The third proportional to 193,159 and 307,355 is: 489,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,159 : 307,355 = 307,355 : x
  2. Step 2: Convert to fraction form
    193,159/307,355 = 307,355/x
  3. Step 3: Cross multiply
    193,159x = 307,355 × 307,355
  4. Step 4: Simplify right side
    193,159x = 94,467,096,025
  5. Step 5: Solve for x
    x = 94,467,096,025/193,159
  6. Step 6: Final answer
    x = 489,063.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.