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Finding the Third Proportional to 134,276 and 295,546

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Solution

The third proportional to 134,276 and 295,546 is: 650,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,276 : 295,546 = 295,546 : x
  2. Step 2: Convert to fraction form
    134,276/295,546 = 295,546/x
  3. Step 3: Cross multiply
    134,276x = 295,546 × 295,546
  4. Step 4: Simplify right side
    134,276x = 87,347,438,116
  5. Step 5: Solve for x
    x = 87,347,438,116/134,276
  6. Step 6: Final answer
    x = 650,506.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.