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Finding the Third Proportional to 193,059.75 and 292,083.56

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Solution

The third proportional to 193,059.75 and 292,083.56 is: 441,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,059.75 : 292,083.56 = 292,083.56 : x
  2. Step 2: Convert to fraction form
    193,059.75/292,083.56 = 292,083.56/x
  3. Step 3: Cross multiply
    193,059.75x = 292,083.56 × 292,083.56
  4. Step 4: Simplify right side
    193,059.75x = 85,312,807,482.69
  5. Step 5: Solve for x
    x = 85,312,807,482.69/193,059.75
  6. Step 6: Final answer
    x = 441,898.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.