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Finding the Third Proportional to 154,404 and 325,410

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Solution

The third proportional to 154,404 and 325,410 is: 685,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,404 : 325,410 = 325,410 : x
  2. Step 2: Convert to fraction form
    154,404/325,410 = 325,410/x
  3. Step 3: Cross multiply
    154,404x = 325,410 × 325,410
  4. Step 4: Simplify right side
    154,404x = 105,891,668,100
  5. Step 5: Solve for x
    x = 105,891,668,100/154,404
  6. Step 6: Final answer
    x = 685,809.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.