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Finding the Third Proportional to 153,261.75 and 334,109.25

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Solution

The third proportional to 153,261.75 and 334,109.25 is: 728,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,261.75 : 334,109.25 = 334,109.25 : x
  2. Step 2: Convert to fraction form
    153,261.75/334,109.25 = 334,109.25/x
  3. Step 3: Cross multiply
    153,261.75x = 334,109.25 × 334,109.25
  4. Step 4: Simplify right side
    153,261.75x = 111,628,990,935.56
  5. Step 5: Solve for x
    x = 111,628,990,935.56/153,261.75
  6. Step 6: Final answer
    x = 728,355.19

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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.