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Finding the Third Proportional to 155,532 and 238,212

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Solution

The third proportional to 155,532 and 238,212 is: 364,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,532 : 238,212 = 238,212 : x
  2. Step 2: Convert to fraction form
    155,532/238,212 = 238,212/x
  3. Step 3: Cross multiply
    155,532x = 238,212 × 238,212
  4. Step 4: Simplify right side
    155,532x = 56,744,956,944
  5. Step 5: Solve for x
    x = 56,744,956,944/155,532
  6. Step 6: Final answer
    x = 364,844.26

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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.