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Finding the Third Proportional to 191,661.75 and 415,059.75

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Solution

The third proportional to 191,661.75 and 415,059.75 is: 898,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,661.75 : 415,059.75 = 415,059.75 : x
  2. Step 2: Convert to fraction form
    191,661.75/415,059.75 = 415,059.75/x
  3. Step 3: Cross multiply
    191,661.75x = 415,059.75 × 415,059.75
  4. Step 4: Simplify right side
    191,661.75x = 172,274,596,070.06
  5. Step 5: Solve for x
    x = 172,274,596,070.06/191,661.75
  6. Step 6: Final answer
    x = 898,847.04

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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.