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Finding the Third Proportional to 191,751.25 and 417,171.25

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Solution

The third proportional to 191,751.25 and 417,171.25 is: 907,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,751.25 : 417,171.25 = 417,171.25 : x
  2. Step 2: Convert to fraction form
    191,751.25/417,171.25 = 417,171.25/x
  3. Step 3: Cross multiply
    191,751.25x = 417,171.25 × 417,171.25
  4. Step 4: Simplify right side
    191,751.25x = 174,031,851,826.56
  5. Step 5: Solve for x
    x = 174,031,851,826.56/191,751.25
  6. Step 6: Final answer
    x = 907,591.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.