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Finding the Third Proportional to 214,501.50 and 315,555.75

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Solution

The third proportional to 214,501.50 and 315,555.75 is: 464,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,501.50 : 315,555.75 = 315,555.75 : x
  2. Step 2: Convert to fraction form
    214,501.50/315,555.75 = 315,555.75/x
  3. Step 3: Cross multiply
    214,501.50x = 315,555.75 × 315,555.75
  4. Step 4: Simplify right side
    214,501.50x = 99,575,431,358.06
  5. Step 5: Solve for x
    x = 99,575,431,358.06/214,501.50
  6. Step 6: Final answer
    x = 464,217.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.