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Finding the Third Proportional to 246,094.50 and 385,546.50

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Solution

The third proportional to 246,094.50 and 385,546.50 is: 604,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,094.50 : 385,546.50 = 385,546.50 : x
  2. Step 2: Convert to fraction form
    246,094.50/385,546.50 = 385,546.50/x
  3. Step 3: Cross multiply
    246,094.50x = 385,546.50 × 385,546.50
  4. Step 4: Simplify right side
    246,094.50x = 148,646,103,662.25
  5. Step 5: Solve for x
    x = 148,646,103,662.25/246,094.50
  6. Step 6: Final answer
    x = 604,020.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.