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Finding the Third Proportional to 176,269.50 and 384,113.25

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Solution

The third proportional to 176,269.50 and 384,113.25 is: 837,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,269.50 : 384,113.25 = 384,113.25 : x
  2. Step 2: Convert to fraction form
    176,269.50/384,113.25 = 384,113.25/x
  3. Step 3: Cross multiply
    176,269.50x = 384,113.25 × 384,113.25
  4. Step 4: Simplify right side
    176,269.50x = 147,542,988,825.56
  5. Step 5: Solve for x
    x = 147,542,988,825.56/176,269.50
  6. Step 6: Final answer
    x = 837,030.73

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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.