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Finding the Third Proportional to 180,308.25 and 385,630.88

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Solution

The third proportional to 180,308.25 and 385,630.88 is: 824,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,308.25 : 385,630.88 = 385,630.88 : x
  2. Step 2: Convert to fraction form
    180,308.25/385,630.88 = 385,630.88/x
  3. Step 3: Cross multiply
    180,308.25x = 385,630.88 × 385,630.88
  4. Step 4: Simplify right side
    180,308.25x = 148,711,171,753.27
  5. Step 5: Solve for x
    x = 148,711,171,753.27/180,308.25
  6. Step 6: Final answer
    x = 824,760.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.