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Finding the Third Proportional to 144,051.75 and 207,497.25

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Solution

The third proportional to 144,051.75 and 207,497.25 is: 298,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,051.75 : 207,497.25 = 207,497.25 : x
  2. Step 2: Convert to fraction form
    144,051.75/207,497.25 = 207,497.25/x
  3. Step 3: Cross multiply
    144,051.75x = 207,497.25 × 207,497.25
  4. Step 4: Simplify right side
    144,051.75x = 43,055,108,757.56
  5. Step 5: Solve for x
    x = 43,055,108,757.56/144,051.75
  6. Step 6: Final answer
    x = 298,886.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.