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Finding the Third Proportional to 183,737 and 275,606.50

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Solution

The third proportional to 183,737 and 275,606.50 is: 413,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,737 : 275,606.50 = 275,606.50 : x
  2. Step 2: Convert to fraction form
    183,737/275,606.50 = 275,606.50/x
  3. Step 3: Cross multiply
    183,737x = 275,606.50 × 275,606.50
  4. Step 4: Simplify right side
    183,737x = 75,958,942,842.25
  5. Step 5: Solve for x
    x = 75,958,942,842.25/183,737
  6. Step 6: Final answer
    x = 413,411.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.