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Finding the Third Proportional to 151,125.75 and 316,760.63

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Solution

The third proportional to 151,125.75 and 316,760.63 is: 663,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,125.75 : 316,760.63 = 316,760.63 : x
  2. Step 2: Convert to fraction form
    151,125.75/316,760.63 = 316,760.63/x
  3. Step 3: Cross multiply
    151,125.75x = 316,760.63 × 316,760.63
  4. Step 4: Simplify right side
    151,125.75x = 100,337,293,550.39
  5. Step 5: Solve for x
    x = 100,337,293,550.39/151,125.75
  6. Step 6: Final answer
    x = 663,932.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.