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Finding the Third Proportional to 251,013.94 and 382,409.86

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Solution

The third proportional to 251,013.94 and 382,409.86 is: 582,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,013.94 : 382,409.86 = 382,409.86 : x
  2. Step 2: Convert to fraction form
    251,013.94/382,409.86 = 382,409.86/x
  3. Step 3: Cross multiply
    251,013.94x = 382,409.86 × 382,409.86
  4. Step 4: Simplify right side
    251,013.94x = 146,237,300,547.21
  5. Step 5: Solve for x
    x = 146,237,300,547.21/251,013.94
  6. Step 6: Final answer
    x = 582,586.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.