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Finding the Third Proportional to 184,257 and 399,618

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Solution

The third proportional to 184,257 and 399,618 is: 866,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,257 : 399,618 = 399,618 : x
  2. Step 2: Convert to fraction form
    184,257/399,618 = 399,618/x
  3. Step 3: Cross multiply
    184,257x = 399,618 × 399,618
  4. Step 4: Simplify right side
    184,257x = 159,694,545,924
  5. Step 5: Solve for x
    x = 159,694,545,924/184,257
  6. Step 6: Final answer
    x = 866,694.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.