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Finding the Third Proportional to 131,206.50 and 208,877

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Solution

The third proportional to 131,206.50 and 208,877 is: 332,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,206.50 : 208,877 = 208,877 : x
  2. Step 2: Convert to fraction form
    131,206.50/208,877 = 208,877/x
  3. Step 3: Cross multiply
    131,206.50x = 208,877 × 208,877
  4. Step 4: Simplify right side
    131,206.50x = 43,629,601,129
  5. Step 5: Solve for x
    x = 43,629,601,129/131,206.50
  6. Step 6: Final answer
    x = 332,526.22

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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.