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Finding the Third Proportional to 154,216 and 238,326

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Solution

The third proportional to 154,216 and 238,326 is: 368,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,216 : 238,326 = 238,326 : x
  2. Step 2: Convert to fraction form
    154,216/238,326 = 238,326/x
  3. Step 3: Cross multiply
    154,216x = 238,326 × 238,326
  4. Step 4: Simplify right side
    154,216x = 56,799,282,276
  5. Step 5: Solve for x
    x = 56,799,282,276/154,216
  6. Step 6: Final answer
    x = 368,309.92

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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.