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Finding the Third Proportional to 145,833 and 238,131

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Solution

The third proportional to 145,833 and 238,131 is: 388,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,833 : 238,131 = 238,131 : x
  2. Step 2: Convert to fraction form
    145,833/238,131 = 238,131/x
  3. Step 3: Cross multiply
    145,833x = 238,131 × 238,131
  4. Step 4: Simplify right side
    145,833x = 56,706,373,161
  5. Step 5: Solve for x
    x = 56,706,373,161/145,833
  6. Step 6: Final answer
    x = 388,844.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.