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Finding the Third Proportional to 180,628 and 281,283

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Solution

The third proportional to 180,628 and 281,283 is: 438,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,628 : 281,283 = 281,283 : x
  2. Step 2: Convert to fraction form
    180,628/281,283 = 281,283/x
  3. Step 3: Cross multiply
    180,628x = 281,283 × 281,283
  4. Step 4: Simplify right side
    180,628x = 79,120,126,089
  5. Step 5: Solve for x
    x = 79,120,126,089/180,628
  6. Step 6: Final answer
    x = 438,028.02

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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.