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Finding the Third Proportional to 138,421.50 and 300,855

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Solution

The third proportional to 138,421.50 and 300,855 is: 653,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421.50 : 300,855 = 300,855 : x
  2. Step 2: Convert to fraction form
    138,421.50/300,855 = 300,855/x
  3. Step 3: Cross multiply
    138,421.50x = 300,855 × 300,855
  4. Step 4: Simplify right side
    138,421.50x = 90,513,731,025
  5. Step 5: Solve for x
    x = 90,513,731,025/138,421.50
  6. Step 6: Final answer
    x = 653,899.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.