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Finding the Third Proportional to 170,767.69 and 254,765.81

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Solution

The third proportional to 170,767.69 and 254,765.81 is: 380,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,767.69 : 254,765.81 = 254,765.81 : x
  2. Step 2: Convert to fraction form
    170,767.69/254,765.81 = 254,765.81/x
  3. Step 3: Cross multiply
    170,767.69x = 254,765.81 × 254,765.81
  4. Step 4: Simplify right side
    170,767.69x = 64,905,619,218.79
  5. Step 5: Solve for x
    x = 64,905,619,218.79/170,767.69
  6. Step 6: Final answer
    x = 380,081.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.