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Finding the Third Proportional to 98,615 and 160,217

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Solution

The third proportional to 98,615 and 160,217 is: 260,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,615 : 160,217 = 160,217 : x
  2. Step 2: Convert to fraction form
    98,615/160,217 = 160,217/x
  3. Step 3: Cross multiply
    98,615x = 160,217 × 160,217
  4. Step 4: Simplify right side
    98,615x = 25,669,487,089
  5. Step 5: Solve for x
    x = 25,669,487,089/98,615
  6. Step 6: Final answer
    x = 260,300.03

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.