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Finding the Third Proportional to 127,304.44 and 265,069.69

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Solution

The third proportional to 127,304.44 and 265,069.69 is: 551,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,304.44 : 265,069.69 = 265,069.69 : x
  2. Step 2: Convert to fraction form
    127,304.44/265,069.69 = 265,069.69/x
  3. Step 3: Cross multiply
    127,304.44x = 265,069.69 × 265,069.69
  4. Step 4: Simplify right side
    127,304.44x = 70,261,939,231.35
  5. Step 5: Solve for x
    x = 70,261,939,231.35/127,304.44
  6. Step 6: Final answer
    x = 551,920.58

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Why These Related Problems?

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