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Finding the Third Proportional to 126,276 and 295,044

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Solution

The third proportional to 126,276 and 295,044 is: 689,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,276 : 295,044 = 295,044 : x
  2. Step 2: Convert to fraction form
    126,276/295,044 = 295,044/x
  3. Step 3: Cross multiply
    126,276x = 295,044 × 295,044
  4. Step 4: Simplify right side
    126,276x = 87,050,961,936
  5. Step 5: Solve for x
    x = 87,050,961,936/126,276
  6. Step 6: Final answer
    x = 689,370.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.