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Finding the Third Proportional to 154,167 and 238,581

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Solution

The third proportional to 154,167 and 238,581 is: 369,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,167 : 238,581 = 238,581 : x
  2. Step 2: Convert to fraction form
    154,167/238,581 = 238,581/x
  3. Step 3: Cross multiply
    154,167x = 238,581 × 238,581
  4. Step 4: Simplify right side
    154,167x = 56,920,893,561
  5. Step 5: Solve for x
    x = 56,920,893,561/154,167
  6. Step 6: Final answer
    x = 369,215.81

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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.