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Finding the Third Proportional to 153,270.75 and 334,126.75

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Solution

The third proportional to 153,270.75 and 334,126.75 is: 728,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,270.75 : 334,126.75 = 334,126.75 : x
  2. Step 2: Convert to fraction form
    153,270.75/334,126.75 = 334,126.75/x
  3. Step 3: Cross multiply
    153,270.75x = 334,126.75 × 334,126.75
  4. Step 4: Simplify right side
    153,270.75x = 111,640,685,065.56
  5. Step 5: Solve for x
    x = 111,640,685,065.56/153,270.75
  6. Step 6: Final answer
    x = 728,388.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.