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Finding the Third Proportional to 154,484 and 338,494

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Solution

The third proportional to 154,484 and 338,494 is: 741,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,484 : 338,494 = 338,494 : x
  2. Step 2: Convert to fraction form
    154,484/338,494 = 338,494/x
  3. Step 3: Cross multiply
    154,484x = 338,494 × 338,494
  4. Step 4: Simplify right side
    154,484x = 114,578,188,036
  5. Step 5: Solve for x
    x = 114,578,188,036/154,484
  6. Step 6: Final answer
    x = 741,683.20

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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.