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Finding the Third Proportional to 176,688.50 and 384,481

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Solution

The third proportional to 176,688.50 and 384,481 is: 836,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,688.50 : 384,481 = 384,481 : x
  2. Step 2: Convert to fraction form
    176,688.50/384,481 = 384,481/x
  3. Step 3: Cross multiply
    176,688.50x = 384,481 × 384,481
  4. Step 4: Simplify right side
    176,688.50x = 147,825,639,361
  5. Step 5: Solve for x
    x = 147,825,639,361/176,688.50
  6. Step 6: Final answer
    x = 836,645.51

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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.