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Finding the Third Proportional to 174,860.44 and 265,708.69

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Solution

The third proportional to 174,860.44 and 265,708.69 is: 403,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,860.44 : 265,708.69 = 265,708.69 : x
  2. Step 2: Convert to fraction form
    174,860.44/265,708.69 = 265,708.69/x
  3. Step 3: Cross multiply
    174,860.44x = 265,708.69 × 265,708.69
  4. Step 4: Simplify right side
    174,860.44x = 70,601,106,612.97
  5. Step 5: Solve for x
    x = 70,601,106,612.97/174,860.44
  6. Step 6: Final answer
    x = 403,756.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.