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Finding the Third Proportional to 145,401 and 213,309

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Solution

The third proportional to 145,401 and 213,309 is: 312,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,401 : 213,309 = 213,309 : x
  2. Step 2: Convert to fraction form
    145,401/213,309 = 213,309/x
  3. Step 3: Cross multiply
    145,401x = 213,309 × 213,309
  4. Step 4: Simplify right side
    145,401x = 45,500,729,481
  5. Step 5: Solve for x
    x = 45,500,729,481/145,401
  6. Step 6: Final answer
    x = 312,932.71

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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.