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Finding the Third Proportional to 136,078 and 295,452

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Solution

The third proportional to 136,078 and 295,452 is: 641,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,078 : 295,452 = 295,452 : x
  2. Step 2: Convert to fraction form
    136,078/295,452 = 295,452/x
  3. Step 3: Cross multiply
    136,078x = 295,452 × 295,452
  4. Step 4: Simplify right side
    136,078x = 87,291,884,304
  5. Step 5: Solve for x
    x = 87,291,884,304/136,078
  6. Step 6: Final answer
    x = 641,484.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.