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Finding the Third Proportional to 151,358.63 and 321,165

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Solution

The third proportional to 151,358.63 and 321,165 is: 681,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,358.63 : 321,165 = 321,165 : x
  2. Step 2: Convert to fraction form
    151,358.63/321,165 = 321,165/x
  3. Step 3: Cross multiply
    151,358.63x = 321,165 × 321,165
  4. Step 4: Simplify right side
    151,358.63x = 103,146,957,225
  5. Step 5: Solve for x
    x = 103,146,957,225/151,358.63
  6. Step 6: Final answer
    x = 681,473.93

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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.