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Finding the Third Proportional to 149,855 and 321,084

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Solution

The third proportional to 149,855 and 321,084 is: 687,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,855 : 321,084 = 321,084 : x
  2. Step 2: Convert to fraction form
    149,855/321,084 = 321,084/x
  3. Step 3: Cross multiply
    149,855x = 321,084 × 321,084
  4. Step 4: Simplify right side
    149,855x = 103,094,935,056
  5. Step 5: Solve for x
    x = 103,094,935,056/149,855
  6. Step 6: Final answer
    x = 687,964.60

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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.