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Finding the Third Proportional to 134,988 and 295,401

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Solution

The third proportional to 134,988 and 295,401 is: 646,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,988 : 295,401 = 295,401 : x
  2. Step 2: Convert to fraction form
    134,988/295,401 = 295,401/x
  3. Step 3: Cross multiply
    134,988x = 295,401 × 295,401
  4. Step 4: Simplify right side
    134,988x = 87,261,750,801
  5. Step 5: Solve for x
    x = 87,261,750,801/134,988
  6. Step 6: Final answer
    x = 646,440.80

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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.