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Finding the Third Proportional to 195,773.63 and 417,153.38

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Solution

The third proportional to 195,773.63 and 417,153.38 is: 888,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,773.63 : 417,153.38 = 417,153.38 : x
  2. Step 2: Convert to fraction form
    195,773.63/417,153.38 = 417,153.38/x
  3. Step 3: Cross multiply
    195,773.63x = 417,153.38 × 417,153.38
  4. Step 4: Simplify right side
    195,773.63x = 174,016,938,273.89
  5. Step 5: Solve for x
    x = 174,016,938,273.89/195,773.63
  6. Step 6: Final answer
    x = 888,868.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.