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Finding the Third Proportional to 98,623 and 160,229

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Solution

The third proportional to 98,623 and 160,229 is: 260,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,623 : 160,229 = 160,229 : x
  2. Step 2: Convert to fraction form
    98,623/160,229 = 160,229/x
  3. Step 3: Cross multiply
    98,623x = 160,229 × 160,229
  4. Step 4: Simplify right side
    98,623x = 25,673,332,441
  5. Step 5: Solve for x
    x = 25,673,332,441/98,623
  6. Step 6: Final answer
    x = 260,317.90

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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.