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Finding the Third Proportional to 162,486 and 238,923

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Solution

The third proportional to 162,486 and 238,923 is: 351,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,486 : 238,923 = 238,923 : x
  2. Step 2: Convert to fraction form
    162,486/238,923 = 238,923/x
  3. Step 3: Cross multiply
    162,486x = 238,923 × 238,923
  4. Step 4: Simplify right side
    162,486x = 57,084,199,929
  5. Step 5: Solve for x
    x = 57,084,199,929/162,486
  6. Step 6: Final answer
    x = 351,317.65

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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.