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Finding the Third Proportional to 154,930 and 238,216

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Solution

The third proportional to 154,930 and 238,216 is: 366,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,930 : 238,216 = 238,216 : x
  2. Step 2: Convert to fraction form
    154,930/238,216 = 238,216/x
  3. Step 3: Cross multiply
    154,930x = 238,216 × 238,216
  4. Step 4: Simplify right side
    154,930x = 56,746,862,656
  5. Step 5: Solve for x
    x = 56,746,862,656/154,930
  6. Step 6: Final answer
    x = 366,274.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.