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Finding the Third Proportional to 106,726.50 and 232,771.50

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Solution

The third proportional to 106,726.50 and 232,771.50 is: 507,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,726.50 : 232,771.50 = 232,771.50 : x
  2. Step 2: Convert to fraction form
    106,726.50/232,771.50 = 232,771.50/x
  3. Step 3: Cross multiply
    106,726.50x = 232,771.50 × 232,771.50
  4. Step 4: Simplify right side
    106,726.50x = 54,182,571,212.25
  5. Step 5: Solve for x
    x = 54,182,571,212.25/106,726.50
  6. Step 6: Final answer
    x = 507,676.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.