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Finding the Third Proportional to 154,177 and 371,429

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Solution

The third proportional to 154,177 and 371,429 is: 894,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,177 : 371,429 = 371,429 : x
  2. Step 2: Convert to fraction form
    154,177/371,429 = 371,429/x
  3. Step 3: Cross multiply
    154,177x = 371,429 × 371,429
  4. Step 4: Simplify right side
    154,177x = 137,959,502,041
  5. Step 5: Solve for x
    x = 137,959,502,041/154,177
  6. Step 6: Final answer
    x = 894,812.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.