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Finding the Third Proportional to 154,070 and 333,410

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Solution

The third proportional to 154,070 and 333,410 is: 721,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,070 : 333,410 = 333,410 : x
  2. Step 2: Convert to fraction form
    154,070/333,410 = 333,410/x
  3. Step 3: Cross multiply
    154,070x = 333,410 × 333,410
  4. Step 4: Simplify right side
    154,070x = 111,162,228,100
  5. Step 5: Solve for x
    x = 111,162,228,100/154,070
  6. Step 6: Final answer
    x = 721,504.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.