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Finding the Third Proportional to 210,336.75 and 456,165

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Solution

The third proportional to 210,336.75 and 456,165 is: 989,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,336.75 : 456,165 = 456,165 : x
  2. Step 2: Convert to fraction form
    210,336.75/456,165 = 456,165/x
  3. Step 3: Cross multiply
    210,336.75x = 456,165 × 456,165
  4. Step 4: Simplify right side
    210,336.75x = 208,086,507,225
  5. Step 5: Solve for x
    x = 208,086,507,225/210,336.75
  6. Step 6: Final answer
    x = 989,301.71

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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.