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Finding the Third Proportional to 158,548 and 330,212

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Solution

The third proportional to 158,548 and 330,212 is: 687,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,548 : 330,212 = 330,212 : x
  2. Step 2: Convert to fraction form
    158,548/330,212 = 330,212/x
  3. Step 3: Cross multiply
    158,548x = 330,212 × 330,212
  4. Step 4: Simplify right side
    158,548x = 109,039,964,944
  5. Step 5: Solve for x
    x = 109,039,964,944/158,548
  6. Step 6: Final answer
    x = 687,741.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.