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Finding the Third Proportional to 183,481 and 258,381.50

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Solution

The third proportional to 183,481 and 258,381.50 is: 363,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,481 : 258,381.50 = 258,381.50 : x
  2. Step 2: Convert to fraction form
    183,481/258,381.50 = 258,381.50/x
  3. Step 3: Cross multiply
    183,481x = 258,381.50 × 258,381.50
  4. Step 4: Simplify right side
    183,481x = 66,760,999,542.25
  5. Step 5: Solve for x
    x = 66,760,999,542.25/183,481
  6. Step 6: Final answer
    x = 363,857.84

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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.