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Finding the Third Proportional to 115,444 and 180,452

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Solution

The third proportional to 115,444 and 180,452 is: 282,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,444 : 180,452 = 180,452 : x
  2. Step 2: Convert to fraction form
    115,444/180,452 = 180,452/x
  3. Step 3: Cross multiply
    115,444x = 180,452 × 180,452
  4. Step 4: Simplify right side
    115,444x = 32,562,924,304
  5. Step 5: Solve for x
    x = 32,562,924,304/115,444
  6. Step 6: Final answer
    x = 282,066.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.