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Finding the Third Proportional to 199,862 and 425,618

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Solution

The third proportional to 199,862 and 425,618 is: 906,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,862 : 425,618 = 425,618 : x
  2. Step 2: Convert to fraction form
    199,862/425,618 = 425,618/x
  3. Step 3: Cross multiply
    199,862x = 425,618 × 425,618
  4. Step 4: Simplify right side
    199,862x = 181,150,681,924
  5. Step 5: Solve for x
    x = 181,150,681,924/199,862
  6. Step 6: Final answer
    x = 906,378.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.