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Finding the Third Proportional to 255,952.69 and 550,542.94

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Solution

The third proportional to 255,952.69 and 550,542.94 is: 1,184,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,952.69 : 550,542.94 = 550,542.94 : x
  2. Step 2: Convert to fraction form
    255,952.69/550,542.94 = 550,542.94/x
  3. Step 3: Cross multiply
    255,952.69x = 550,542.94 × 550,542.94
  4. Step 4: Simplify right side
    255,952.69x = 303,097,526,031.13
  5. Step 5: Solve for x
    x = 303,097,526,031.13/255,952.69
  6. Step 6: Final answer
    x = 1,184,193.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.