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Finding the Third Proportional to 109,440 and 238,050

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Solution

The third proportional to 109,440 and 238,050 is: 517,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,440 : 238,050 = 238,050 : x
  2. Step 2: Convert to fraction form
    109,440/238,050 = 238,050/x
  3. Step 3: Cross multiply
    109,440x = 238,050 × 238,050
  4. Step 4: Simplify right side
    109,440x = 56,667,802,500
  5. Step 5: Solve for x
    x = 56,667,802,500/109,440
  6. Step 6: Final answer
    x = 517,797.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.