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Finding the Third Proportional to 185,599 and 282,089

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Solution

The third proportional to 185,599 and 282,089 is: 428,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,599 : 282,089 = 282,089 : x
  2. Step 2: Convert to fraction form
    185,599/282,089 = 282,089/x
  3. Step 3: Cross multiply
    185,599x = 282,089 × 282,089
  4. Step 4: Simplify right side
    185,599x = 79,574,203,921
  5. Step 5: Solve for x
    x = 79,574,203,921/185,599
  6. Step 6: Final answer
    x = 428,742.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.