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Finding the Third Proportional to 134,976 and 295,299

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Solution

The third proportional to 134,976 and 295,299 is: 646,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,976 : 295,299 = 295,299 : x
  2. Step 2: Convert to fraction form
    134,976/295,299 = 295,299/x
  3. Step 3: Cross multiply
    134,976x = 295,299 × 295,299
  4. Step 4: Simplify right side
    134,976x = 87,201,499,401
  5. Step 5: Solve for x
    x = 87,201,499,401/134,976
  6. Step 6: Final answer
    x = 646,051.89

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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.