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Finding the Third Proportional to 151,437.75 and 318,560.25

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Solution

The third proportional to 151,437.75 and 318,560.25 is: 670,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,437.75 : 318,560.25 = 318,560.25 : x
  2. Step 2: Convert to fraction form
    151,437.75/318,560.25 = 318,560.25/x
  3. Step 3: Cross multiply
    151,437.75x = 318,560.25 × 318,560.25
  4. Step 4: Simplify right side
    151,437.75x = 101,480,632,880.06
  5. Step 5: Solve for x
    x = 101,480,632,880.06/151,437.75
  6. Step 6: Final answer
    x = 670,114.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.