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Finding the Third Proportional to 281,150 and 612,217

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Solution

The third proportional to 281,150 and 612,217 is: 1,333,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,150 : 612,217 = 612,217 : x
  2. Step 2: Convert to fraction form
    281,150/612,217 = 612,217/x
  3. Step 3: Cross multiply
    281,150x = 612,217 × 612,217
  4. Step 4: Simplify right side
    281,150x = 374,809,655,089
  5. Step 5: Solve for x
    x = 374,809,655,089/281,150
  6. Step 6: Final answer
    x = 1,333,130.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.