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Finding the Third Proportional to 193,207.78 and 307,628.03

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Solution

The third proportional to 193,207.78 and 307,628.03 is: 489,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,207.78 : 307,628.03 = 307,628.03 : x
  2. Step 2: Convert to fraction form
    193,207.78/307,628.03 = 307,628.03/x
  3. Step 3: Cross multiply
    193,207.78x = 307,628.03 × 307,628.03
  4. Step 4: Simplify right side
    193,207.78x = 94,635,006,812.42
  5. Step 5: Solve for x
    x = 94,635,006,812.42/193,207.78
  6. Step 6: Final answer
    x = 489,809.50

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