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Finding the Third Proportional to 146,025 and 313,888.50

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Solution

The third proportional to 146,025 and 313,888.50 is: 674,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,025 : 313,888.50 = 313,888.50 : x
  2. Step 2: Convert to fraction form
    146,025/313,888.50 = 313,888.50/x
  3. Step 3: Cross multiply
    146,025x = 313,888.50 × 313,888.50
  4. Step 4: Simplify right side
    146,025x = 98,525,990,432.25
  5. Step 5: Solve for x
    x = 98,525,990,432.25/146,025
  6. Step 6: Final answer
    x = 674,720.02

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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.