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Finding the Third Proportional to 176,827.50 and 361,824.75

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Solution

The third proportional to 176,827.50 and 361,824.75 is: 740,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,827.50 : 361,824.75 = 361,824.75 : x
  2. Step 2: Convert to fraction form
    176,827.50/361,824.75 = 361,824.75/x
  3. Step 3: Cross multiply
    176,827.50x = 361,824.75 × 361,824.75
  4. Step 4: Simplify right side
    176,827.50x = 130,917,149,712.56
  5. Step 5: Solve for x
    x = 130,917,149,712.56/176,827.50
  6. Step 6: Final answer
    x = 740,366.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.