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Finding the Third Proportional to 183,544 and 258,472

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Solution

The third proportional to 183,544 and 258,472 is: 363,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,544 : 258,472 = 258,472 : x
  2. Step 2: Convert to fraction form
    183,544/258,472 = 258,472/x
  3. Step 3: Cross multiply
    183,544x = 258,472 × 258,472
  4. Step 4: Simplify right side
    183,544x = 66,807,774,784
  5. Step 5: Solve for x
    x = 66,807,774,784/183,544
  6. Step 6: Final answer
    x = 363,987.79

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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.