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Finding the Third Proportional to 153,007 and 331,433

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Solution

The third proportional to 153,007 and 331,433 is: 717,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,007 : 331,433 = 331,433 : x
  2. Step 2: Convert to fraction form
    153,007/331,433 = 331,433/x
  3. Step 3: Cross multiply
    153,007x = 331,433 × 331,433
  4. Step 4: Simplify right side
    153,007x = 109,847,833,489
  5. Step 5: Solve for x
    x = 109,847,833,489/153,007
  6. Step 6: Final answer
    x = 717,926.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.