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Finding the Third Proportional to 137,986 and 302,468

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Solution

The third proportional to 137,986 and 302,468 is: 663,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,986 : 302,468 = 302,468 : x
  2. Step 2: Convert to fraction form
    137,986/302,468 = 302,468/x
  3. Step 3: Cross multiply
    137,986x = 302,468 × 302,468
  4. Step 4: Simplify right side
    137,986x = 91,486,891,024
  5. Step 5: Solve for x
    x = 91,486,891,024/137,986
  6. Step 6: Final answer
    x = 663,015.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.