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Finding the Third Proportional to 257,212.88 and 366,902.25

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Solution

The third proportional to 257,212.88 and 366,902.25 is: 523,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,212.88 : 366,902.25 = 366,902.25 : x
  2. Step 2: Convert to fraction form
    257,212.88/366,902.25 = 366,902.25/x
  3. Step 3: Cross multiply
    257,212.88x = 366,902.25 × 366,902.25
  4. Step 4: Simplify right side
    257,212.88x = 134,617,261,055.06
  5. Step 5: Solve for x
    x = 134,617,261,055.06/257,212.88
  6. Step 6: Final answer
    x = 523,369.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.