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Finding the Third Proportional to 139,435.88 and 302,054.63

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Solution

The third proportional to 139,435.88 and 302,054.63 is: 654,329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,435.88 : 302,054.63 = 302,054.63 : x
  2. Step 2: Convert to fraction form
    139,435.88/302,054.63 = 302,054.63/x
  3. Step 3: Cross multiply
    139,435.88x = 302,054.63 × 302,054.63
  4. Step 4: Simplify right side
    139,435.88x = 91,236,996,483.89
  5. Step 5: Solve for x
    x = 91,236,996,483.89/139,435.88
  6. Step 6: Final answer
    x = 654,329.43

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