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Finding the Third Proportional to 162,510 and 248,085

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Solution

The third proportional to 162,510 and 248,085 is: 378,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,510 : 248,085 = 248,085 : x
  2. Step 2: Convert to fraction form
    162,510/248,085 = 248,085/x
  3. Step 3: Cross multiply
    162,510x = 248,085 × 248,085
  4. Step 4: Simplify right side
    162,510x = 61,546,167,225
  5. Step 5: Solve for x
    x = 61,546,167,225/162,510
  6. Step 6: Final answer
    x = 378,722.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.