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Finding the Third Proportional to 178,974.56 and 385,970.06

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Solution

The third proportional to 178,974.56 and 385,970.06 is: 832,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,974.56 : 385,970.06 = 385,970.06 : x
  2. Step 2: Convert to fraction form
    178,974.56/385,970.06 = 385,970.06/x
  3. Step 3: Cross multiply
    178,974.56x = 385,970.06 × 385,970.06
  4. Step 4: Simplify right side
    178,974.56x = 148,972,889,146.25
  5. Step 5: Solve for x
    x = 148,972,889,146.25/178,974.56
  6. Step 6: Final answer
    x = 832,369.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.