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Finding the Third Proportional to 154,256 and 238,376

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Solution

The third proportional to 154,256 and 238,376 is: 368,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,256 : 238,376 = 238,376 : x
  2. Step 2: Convert to fraction form
    154,256/238,376 = 238,376/x
  3. Step 3: Cross multiply
    154,256x = 238,376 × 238,376
  4. Step 4: Simplify right side
    154,256x = 56,823,117,376
  5. Step 5: Solve for x
    x = 56,823,117,376/154,256
  6. Step 6: Final answer
    x = 368,368.93

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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.