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Finding the Third Proportional to 140,751 and 207,393.75

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Solution

The third proportional to 140,751 and 207,393.75 is: 305,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,751 : 207,393.75 = 207,393.75 : x
  2. Step 2: Convert to fraction form
    140,751/207,393.75 = 207,393.75/x
  3. Step 3: Cross multiply
    140,751x = 207,393.75 × 207,393.75
  4. Step 4: Simplify right side
    140,751x = 43,012,167,539.06
  5. Step 5: Solve for x
    x = 43,012,167,539.06/140,751
  6. Step 6: Final answer
    x = 305,590.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.