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Finding the Third Proportional to 174,210 and 381,618

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Solution

The third proportional to 174,210 and 381,618 is: 835,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,210 : 381,618 = 381,618 : x
  2. Step 2: Convert to fraction form
    174,210/381,618 = 381,618/x
  3. Step 3: Cross multiply
    174,210x = 381,618 × 381,618
  4. Step 4: Simplify right side
    174,210x = 145,632,297,924
  5. Step 5: Solve for x
    x = 145,632,297,924/174,210
  6. Step 6: Final answer
    x = 835,958.31

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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.