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Finding the Third Proportional to 149,742 and 327,618

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Solution

The third proportional to 149,742 and 327,618 is: 716,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,742 : 327,618 = 327,618 : x
  2. Step 2: Convert to fraction form
    149,742/327,618 = 327,618/x
  3. Step 3: Cross multiply
    149,742x = 327,618 × 327,618
  4. Step 4: Simplify right side
    149,742x = 107,333,553,924
  5. Step 5: Solve for x
    x = 107,333,553,924/149,742
  6. Step 6: Final answer
    x = 716,789.90

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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.