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Finding the Third Proportional to 127,077 and 295,452

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Solution

The third proportional to 127,077 and 295,452 is: 686,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,077 : 295,452 = 295,452 : x
  2. Step 2: Convert to fraction form
    127,077/295,452 = 295,452/x
  3. Step 3: Cross multiply
    127,077x = 295,452 × 295,452
  4. Step 4: Simplify right side
    127,077x = 87,291,884,304
  5. Step 5: Solve for x
    x = 87,291,884,304/127,077
  6. Step 6: Final answer
    x = 686,921.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.