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Finding the Third Proportional to 118,289.25 and 255,532.50

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Solution

The third proportional to 118,289.25 and 255,532.50 is: 552,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,289.25 : 255,532.50 = 255,532.50 : x
  2. Step 2: Convert to fraction form
    118,289.25/255,532.50 = 255,532.50/x
  3. Step 3: Cross multiply
    118,289.25x = 255,532.50 × 255,532.50
  4. Step 4: Simplify right side
    118,289.25x = 65,296,858,556.25
  5. Step 5: Solve for x
    x = 65,296,858,556.25/118,289.25
  6. Step 6: Final answer
    x = 552,010.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.