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Finding the Third Proportional to 154,432 and 338,388

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Solution

The third proportional to 154,432 and 338,388 is: 741,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,432 : 338,388 = 338,388 : x
  2. Step 2: Convert to fraction form
    154,432/338,388 = 338,388/x
  3. Step 3: Cross multiply
    154,432x = 338,388 × 338,388
  4. Step 4: Simplify right side
    154,432x = 114,506,438,544
  5. Step 5: Solve for x
    x = 114,506,438,544/154,432
  6. Step 6: Final answer
    x = 741,468.34

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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.