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Finding the Third Proportional to 160,521 and 248,895

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Solution

The third proportional to 160,521 and 248,895 is: 385,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,521 : 248,895 = 248,895 : x
  2. Step 2: Convert to fraction form
    160,521/248,895 = 248,895/x
  3. Step 3: Cross multiply
    160,521x = 248,895 × 248,895
  4. Step 4: Simplify right side
    160,521x = 61,948,721,025
  5. Step 5: Solve for x
    x = 61,948,721,025/160,521
  6. Step 6: Final answer
    x = 385,922.85

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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.