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Finding the Third Proportional to 151,825.64 and 325,743.40

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Solution

The third proportional to 151,825.64 and 325,743.40 is: 698,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,825.64 : 325,743.40 = 325,743.40 : x
  2. Step 2: Convert to fraction form
    151,825.64/325,743.40 = 325,743.40/x
  3. Step 3: Cross multiply
    151,825.64x = 325,743.40 × 325,743.40
  4. Step 4: Simplify right side
    151,825.64x = 106,108,761,625.61
  5. Step 5: Solve for x
    x = 106,108,761,625.61/151,825.64
  6. Step 6: Final answer
    x = 698,885.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.