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Finding the Third Proportional to 191,969.50 and 417,799.75

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Solution

The third proportional to 191,969.50 and 417,799.75 is: 909,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,969.50 : 417,799.75 = 417,799.75 : x
  2. Step 2: Convert to fraction form
    191,969.50/417,799.75 = 417,799.75/x
  3. Step 3: Cross multiply
    191,969.50x = 417,799.75 × 417,799.75
  4. Step 4: Simplify right side
    191,969.50x = 174,556,631,100.06
  5. Step 5: Solve for x
    x = 174,556,631,100.06/191,969.50
  6. Step 6: Final answer
    x = 909,293.57

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Why These Related Problems?

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