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Finding the Third Proportional to 188,185 and 402,618

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Solution

The third proportional to 188,185 and 402,618 is: 861,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,185 : 402,618 = 402,618 : x
  2. Step 2: Convert to fraction form
    188,185/402,618 = 402,618/x
  3. Step 3: Cross multiply
    188,185x = 402,618 × 402,618
  4. Step 4: Simplify right side
    188,185x = 162,101,253,924
  5. Step 5: Solve for x
    x = 162,101,253,924/188,185
  6. Step 6: Final answer
    x = 861,393.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.