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Finding the Third Proportional to 149,925 and 322,081.50

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Solution

The third proportional to 149,925 and 322,081.50 is: 691,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,925 : 322,081.50 = 322,081.50 : x
  2. Step 2: Convert to fraction form
    149,925/322,081.50 = 322,081.50/x
  3. Step 3: Cross multiply
    149,925x = 322,081.50 × 322,081.50
  4. Step 4: Simplify right side
    149,925x = 103,736,492,642.25
  5. Step 5: Solve for x
    x = 103,736,492,642.25/149,925
  6. Step 6: Final answer
    x = 691,922.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.