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Finding the Third Proportional to 154,472 and 338,466

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Solution

The third proportional to 154,472 and 338,466 is: 741,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,472 : 338,466 = 338,466 : x
  2. Step 2: Convert to fraction form
    154,472/338,466 = 338,466/x
  3. Step 3: Cross multiply
    154,472x = 338,466 × 338,466
  4. Step 4: Simplify right side
    154,472x = 114,559,233,156
  5. Step 5: Solve for x
    x = 114,559,233,156/154,472
  6. Step 6: Final answer
    x = 741,618.11

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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.