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Finding the Third Proportional to 145,273.50 and 313,890.19

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Solution

The third proportional to 145,273.50 and 313,890.19 is: 678,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,273.50 : 313,890.19 = 313,890.19 : x
  2. Step 2: Convert to fraction form
    145,273.50/313,890.19 = 313,890.19/x
  3. Step 3: Cross multiply
    145,273.50x = 313,890.19 × 313,890.19
  4. Step 4: Simplify right side
    145,273.50x = 98,527,049,808.79
  5. Step 5: Solve for x
    x = 98,527,049,808.79/145,273.50
  6. Step 6: Final answer
    x = 678,217.64

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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.