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Finding the Third Proportional to 240,168 and 376,738.50

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Solution

The third proportional to 240,168 and 376,738.50 is: 590,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,168 : 376,738.50 = 376,738.50 : x
  2. Step 2: Convert to fraction form
    240,168/376,738.50 = 376,738.50/x
  3. Step 3: Cross multiply
    240,168x = 376,738.50 × 376,738.50
  4. Step 4: Simplify right side
    240,168x = 141,931,897,382.25
  5. Step 5: Solve for x
    x = 141,931,897,382.25/240,168
  6. Step 6: Final answer
    x = 590,969.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.