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Finding the Third Proportional to 238,004 and 369,318

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Solution

The third proportional to 238,004 and 369,318 is: 573,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,004 : 369,318 = 369,318 : x
  2. Step 2: Convert to fraction form
    238,004/369,318 = 369,318/x
  3. Step 3: Cross multiply
    238,004x = 369,318 × 369,318
  4. Step 4: Simplify right side
    238,004x = 136,395,785,124
  5. Step 5: Solve for x
    x = 136,395,785,124/238,004
  6. Step 6: Final answer
    x = 573,081.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.