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Finding the Third Proportional to 149,310 and 322,375.50

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Solution

The third proportional to 149,310 and 322,375.50 is: 696,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,310 : 322,375.50 = 322,375.50 : x
  2. Step 2: Convert to fraction form
    149,310/322,375.50 = 322,375.50/x
  3. Step 3: Cross multiply
    149,310x = 322,375.50 × 322,375.50
  4. Step 4: Simplify right side
    149,310x = 103,925,963,000.25
  5. Step 5: Solve for x
    x = 103,925,963,000.25/149,310
  6. Step 6: Final answer
    x = 696,041.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.