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Finding the Third Proportional to 140,650.50 and 301,623

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Solution

The third proportional to 140,650.50 and 301,623 is: 646,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,650.50 : 301,623 = 301,623 : x
  2. Step 2: Convert to fraction form
    140,650.50/301,623 = 301,623/x
  3. Step 3: Cross multiply
    140,650.50x = 301,623 × 301,623
  4. Step 4: Simplify right side
    140,650.50x = 90,976,434,129
  5. Step 5: Solve for x
    x = 90,976,434,129/140,650.50
  6. Step 6: Final answer
    x = 646,826.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.