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Finding the Third Proportional to 253,732.50 and 377,865

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Solution

The third proportional to 253,732.50 and 377,865 is: 562,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,732.50 : 377,865 = 377,865 : x
  2. Step 2: Convert to fraction form
    253,732.50/377,865 = 377,865/x
  3. Step 3: Cross multiply
    253,732.50x = 377,865 × 377,865
  4. Step 4: Simplify right side
    253,732.50x = 142,781,958,225
  5. Step 5: Solve for x
    x = 142,781,958,225/253,732.50
  6. Step 6: Final answer
    x = 562,726.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.