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Finding the Third Proportional to 166,130 and 354,007

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Solution

The third proportional to 166,130 and 354,007 is: 754,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,130 : 354,007 = 354,007 : x
  2. Step 2: Convert to fraction form
    166,130/354,007 = 354,007/x
  3. Step 3: Cross multiply
    166,130x = 354,007 × 354,007
  4. Step 4: Simplify right side
    166,130x = 125,320,956,049
  5. Step 5: Solve for x
    x = 125,320,956,049/166,130
  6. Step 6: Final answer
    x = 754,354.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.