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Finding the Third Proportional to 238,121 and 324,276

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Solution

The third proportional to 238,121 and 324,276 is: 441,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,121 : 324,276 = 324,276 : x
  2. Step 2: Convert to fraction form
    238,121/324,276 = 324,276/x
  3. Step 3: Cross multiply
    238,121x = 324,276 × 324,276
  4. Step 4: Simplify right side
    238,121x = 105,154,924,176
  5. Step 5: Solve for x
    x = 105,154,924,176/238,121
  6. Step 6: Final answer
    x = 441,602.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.