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Finding the Third Proportional to 135,630 and 295,371

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Solution

The third proportional to 135,630 and 295,371 is: 643,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,630 : 295,371 = 295,371 : x
  2. Step 2: Convert to fraction form
    135,630/295,371 = 295,371/x
  3. Step 3: Cross multiply
    135,630x = 295,371 × 295,371
  4. Step 4: Simplify right side
    135,630x = 87,244,027,641
  5. Step 5: Solve for x
    x = 87,244,027,641/135,630
  6. Step 6: Final answer
    x = 643,250.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.