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Finding the Third Proportional to 183,480 and 258,378.75

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Solution

The third proportional to 183,480 and 258,378.75 is: 363,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,480 : 258,378.75 = 258,378.75 : x
  2. Step 2: Convert to fraction form
    183,480/258,378.75 = 258,378.75/x
  3. Step 3: Cross multiply
    183,480x = 258,378.75 × 258,378.75
  4. Step 4: Simplify right side
    183,480x = 66,759,578,451.56
  5. Step 5: Solve for x
    x = 66,759,578,451.56/183,480
  6. Step 6: Final answer
    x = 363,852.07

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