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Finding the Third Proportional to 161,622 and 352,618

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Solution

The third proportional to 161,622 and 352,618 is: 769,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,622 : 352,618 = 352,618 : x
  2. Step 2: Convert to fraction form
    161,622/352,618 = 352,618/x
  3. Step 3: Cross multiply
    161,622x = 352,618 × 352,618
  4. Step 4: Simplify right side
    161,622x = 124,339,453,924
  5. Step 5: Solve for x
    x = 124,339,453,924/161,622
  6. Step 6: Final answer
    x = 769,322.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.