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Finding the Third Proportional to 166,289.63 and 352,431

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Solution

The third proportional to 166,289.63 and 352,431 is: 746,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,289.63 : 352,431 = 352,431 : x
  2. Step 2: Convert to fraction form
    166,289.63/352,431 = 352,431/x
  3. Step 3: Cross multiply
    166,289.63x = 352,431 × 352,431
  4. Step 4: Simplify right side
    166,289.63x = 124,207,609,761
  5. Step 5: Solve for x
    x = 124,207,609,761/166,289.63
  6. Step 6: Final answer
    x = 746,935.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.