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Finding the Third Proportional to 139,525.31 and 302,216.63

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Solution

The third proportional to 139,525.31 and 302,216.63 is: 654,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,525.31 : 302,216.63 = 302,216.63 : x
  2. Step 2: Convert to fraction form
    139,525.31/302,216.63 = 302,216.63/x
  3. Step 3: Cross multiply
    139,525.31x = 302,216.63 × 302,216.63
  4. Step 4: Simplify right side
    139,525.31x = 91,334,888,426.39
  5. Step 5: Solve for x
    x = 91,334,888,426.39/139,525.31
  6. Step 6: Final answer
    x = 654,611.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.