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Finding the Third Proportional to 246,093.19 and 385,544.81

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Solution

The third proportional to 246,093.19 and 385,544.81 is: 604,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,093.19 : 385,544.81 = 385,544.81 : x
  2. Step 2: Convert to fraction form
    246,093.19/385,544.81 = 385,544.81/x
  3. Step 3: Cross multiply
    246,093.19x = 385,544.81 × 385,544.81
  4. Step 4: Simplify right side
    246,093.19x = 148,644,802,445.66
  5. Step 5: Solve for x
    x = 148,644,802,445.66/246,093.19
  6. Step 6: Final answer
    x = 604,018.36

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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.