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Finding the Third Proportional to 145,216.50 and 318,482.50

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Solution

The third proportional to 145,216.50 and 318,482.50 is: 698,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,216.50 : 318,482.50 = 318,482.50 : x
  2. Step 2: Convert to fraction form
    145,216.50/318,482.50 = 318,482.50/x
  3. Step 3: Cross multiply
    145,216.50x = 318,482.50 × 318,482.50
  4. Step 4: Simplify right side
    145,216.50x = 101,431,102,806.25
  5. Step 5: Solve for x
    x = 101,431,102,806.25/145,216.50
  6. Step 6: Final answer
    x = 698,481.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.