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Finding the Third Proportional to 219,316.50 and 274,533.75

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Solution

The third proportional to 219,316.50 and 274,533.75 is: 343,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,316.50 : 274,533.75 = 274,533.75 : x
  2. Step 2: Convert to fraction form
    219,316.50/274,533.75 = 274,533.75/x
  3. Step 3: Cross multiply
    219,316.50x = 274,533.75 × 274,533.75
  4. Step 4: Simplify right side
    219,316.50x = 75,368,779,889.06
  5. Step 5: Solve for x
    x = 75,368,779,889.06/219,316.50
  6. Step 6: Final answer
    x = 343,653.03

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.