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Finding the Third Proportional to 246,094.88 and 385,544.25

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Solution

The third proportional to 246,094.88 and 385,544.25 is: 604,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,094.88 : 385,544.25 = 385,544.25 : x
  2. Step 2: Convert to fraction form
    246,094.88/385,544.25 = 385,544.25/x
  3. Step 3: Cross multiply
    246,094.88x = 385,544.25 × 385,544.25
  4. Step 4: Simplify right side
    246,094.88x = 148,644,368,708.06
  5. Step 5: Solve for x
    x = 148,644,368,708.06/246,094.88
  6. Step 6: Final answer
    x = 604,012.45

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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.