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Finding the Third Proportional to 141,334.88 and 302,284.41

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Solution

The third proportional to 141,334.88 and 302,284.41 is: 646,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,334.88 : 302,284.41 = 302,284.41 : x
  2. Step 2: Convert to fraction form
    141,334.88/302,284.41 = 302,284.41/x
  3. Step 3: Cross multiply
    141,334.88x = 302,284.41 × 302,284.41
  4. Step 4: Simplify right side
    141,334.88x = 91,375,862,261.92
  5. Step 5: Solve for x
    x = 91,375,862,261.92/141,334.88
  6. Step 6: Final answer
    x = 646,520.28

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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.