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Finding the Third Proportional to 118,189.69 and 273,330.84

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Solution

The third proportional to 118,189.69 and 273,330.84 is: 632,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,189.69 : 273,330.84 = 273,330.84 : x
  2. Step 2: Convert to fraction form
    118,189.69/273,330.84 = 273,330.84/x
  3. Step 3: Cross multiply
    118,189.69x = 273,330.84 × 273,330.84
  4. Step 4: Simplify right side
    118,189.69x = 74,709,750,145.09
  5. Step 5: Solve for x
    x = 74,709,750,145.09/118,189.69
  6. Step 6: Final answer
    x = 632,117.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.