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Finding the Third Proportional to 154,492 and 338,516

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Solution

The third proportional to 154,492 and 338,516 is: 741,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,492 : 338,516 = 338,516 : x
  2. Step 2: Convert to fraction form
    154,492/338,516 = 338,516/x
  3. Step 3: Cross multiply
    154,492x = 338,516 × 338,516
  4. Step 4: Simplify right side
    154,492x = 114,593,082,256
  5. Step 5: Solve for x
    x = 114,593,082,256/154,492
  6. Step 6: Final answer
    x = 741,741.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.