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Finding the Third Proportional to 174,880.69 and 265,735.69

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Solution

The third proportional to 174,880.69 and 265,735.69 is: 403,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,880.69 : 265,735.69 = 265,735.69 : x
  2. Step 2: Convert to fraction form
    174,880.69/265,735.69 = 265,735.69/x
  3. Step 3: Cross multiply
    174,880.69x = 265,735.69 × 265,735.69
  4. Step 4: Simplify right side
    174,880.69x = 70,615,455,611.10
  5. Step 5: Solve for x
    x = 70,615,455,611.10/174,880.69
  6. Step 6: Final answer
    x = 403,792.19

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