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Finding the Third Proportional to 150,618 and 326,031

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Solution

The third proportional to 150,618 and 326,031 is: 705,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,618 : 326,031 = 326,031 : x
  2. Step 2: Convert to fraction form
    150,618/326,031 = 326,031/x
  3. Step 3: Cross multiply
    150,618x = 326,031 × 326,031
  4. Step 4: Simplify right side
    150,618x = 106,296,212,961
  5. Step 5: Solve for x
    x = 106,296,212,961/150,618
  6. Step 6: Final answer
    x = 705,733.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.