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Finding the Third Proportional to 174,606.50 and 276,945.50

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Solution

The third proportional to 174,606.50 and 276,945.50 is: 439,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,606.50 : 276,945.50 = 276,945.50 : x
  2. Step 2: Convert to fraction form
    174,606.50/276,945.50 = 276,945.50/x
  3. Step 3: Cross multiply
    174,606.50x = 276,945.50 × 276,945.50
  4. Step 4: Simplify right side
    174,606.50x = 76,698,809,970.25
  5. Step 5: Solve for x
    x = 76,698,809,970.25/174,606.50
  6. Step 6: Final answer
    x = 439,266.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.