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Finding the Third Proportional to 154,928 and 238,440

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Solution

The third proportional to 154,928 and 238,440 is: 366,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,928 : 238,440 = 238,440 : x
  2. Step 2: Convert to fraction form
    154,928/238,440 = 238,440/x
  3. Step 3: Cross multiply
    154,928x = 238,440 × 238,440
  4. Step 4: Simplify right side
    154,928x = 56,853,633,600
  5. Step 5: Solve for x
    x = 56,853,633,600/154,928
  6. Step 6: Final answer
    x = 366,968.10

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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.