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Finding the Third Proportional to 166,830.89 and 393,656.20

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Solution

The third proportional to 166,830.89 and 393,656.20 is: 928,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,830.89 : 393,656.20 = 393,656.20 : x
  2. Step 2: Convert to fraction form
    166,830.89/393,656.20 = 393,656.20/x
  3. Step 3: Cross multiply
    166,830.89x = 393,656.20 × 393,656.20
  4. Step 4: Simplify right side
    166,830.89x = 154,965,206,258.79
  5. Step 5: Solve for x
    x = 154,965,206,258.79/166,830.89
  6. Step 6: Final answer
    x = 928,875.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.