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Finding the Third Proportional to 127,308.94 and 265,074.19

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Solution

The third proportional to 127,308.94 and 265,074.19 is: 551,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,308.94 : 265,074.19 = 265,074.19 : x
  2. Step 2: Convert to fraction form
    127,308.94/265,074.19 = 265,074.19/x
  3. Step 3: Cross multiply
    127,308.94x = 265,074.19 × 265,074.19
  4. Step 4: Simplify right side
    127,308.94x = 70,264,324,878.79
  5. Step 5: Solve for x
    x = 70,264,324,878.79/127,308.94
  6. Step 6: Final answer
    x = 551,919.81

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.