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Finding the Third Proportional to 160,516 and 248,890

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Solution

The third proportional to 160,516 and 248,890 is: 385,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,516 : 248,890 = 248,890 : x
  2. Step 2: Convert to fraction form
    160,516/248,890 = 248,890/x
  3. Step 3: Cross multiply
    160,516x = 248,890 × 248,890
  4. Step 4: Simplify right side
    160,516x = 61,946,232,100
  5. Step 5: Solve for x
    x = 61,946,232,100/160,516
  6. Step 6: Final answer
    x = 385,919.36

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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.