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Finding the Third Proportional to 154,946 and 239,426

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Solution

The third proportional to 154,946 and 239,426 is: 369,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,946 : 239,426 = 239,426 : x
  2. Step 2: Convert to fraction form
    154,946/239,426 = 239,426/x
  3. Step 3: Cross multiply
    154,946x = 239,426 × 239,426
  4. Step 4: Simplify right side
    154,946x = 57,324,809,476
  5. Step 5: Solve for x
    x = 57,324,809,476/154,946
  6. Step 6: Final answer
    x = 369,966.37

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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.