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Finding the Third Proportional to 162,092 and 238,946

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Solution

The third proportional to 162,092 and 238,946 is: 352,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,092 : 238,946 = 238,946 : x
  2. Step 2: Convert to fraction form
    162,092/238,946 = 238,946/x
  3. Step 3: Cross multiply
    162,092x = 238,946 × 238,946
  4. Step 4: Simplify right side
    162,092x = 57,095,190,916
  5. Step 5: Solve for x
    x = 57,095,190,916/162,092
  6. Step 6: Final answer
    x = 352,239.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.