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Finding the Third Proportional to 160,513 and 248,885

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Solution

The third proportional to 160,513 and 248,885 is: 385,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,513 : 248,885 = 248,885 : x
  2. Step 2: Convert to fraction form
    160,513/248,885 = 248,885/x
  3. Step 3: Cross multiply
    160,513x = 248,885 × 248,885
  4. Step 4: Simplify right side
    160,513x = 61,943,743,225
  5. Step 5: Solve for x
    x = 61,943,743,225/160,513
  6. Step 6: Final answer
    x = 385,911.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.