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Finding the Third Proportional to 154,515 and 338,550

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Solution

The third proportional to 154,515 and 338,550 is: 741,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,515 : 338,550 = 338,550 : x
  2. Step 2: Convert to fraction form
    154,515/338,550 = 338,550/x
  3. Step 3: Cross multiply
    154,515x = 338,550 × 338,550
  4. Step 4: Simplify right side
    154,515x = 114,616,102,500
  5. Step 5: Solve for x
    x = 114,616,102,500/154,515
  6. Step 6: Final answer
    x = 741,779.78

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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.