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Finding the Third Proportional to 183,546 and 258,476

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Solution

The third proportional to 183,546 and 258,476 is: 363,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,546 : 258,476 = 258,476 : x
  2. Step 2: Convert to fraction form
    183,546/258,476 = 258,476/x
  3. Step 3: Cross multiply
    183,546x = 258,476 × 258,476
  4. Step 4: Simplify right side
    183,546x = 66,809,842,576
  5. Step 5: Solve for x
    x = 66,809,842,576/183,546
  6. Step 6: Final answer
    x = 363,995.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.