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Finding the Third Proportional to 149,855.06 and 238,064.06

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Solution

The third proportional to 149,855.06 and 238,064.06 is: 378,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,855.06 : 238,064.06 = 238,064.06 : x
  2. Step 2: Convert to fraction form
    149,855.06/238,064.06 = 238,064.06/x
  3. Step 3: Cross multiply
    149,855.06x = 238,064.06 × 238,064.06
  4. Step 4: Simplify right side
    149,855.06x = 56,674,497,854.00
  5. Step 5: Solve for x
    x = 56,674,497,854.00/149,855.06
  6. Step 6: Final answer
    x = 378,195.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.