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Finding the Third Proportional to 233,984.25 and 342,201.38

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Solution

The third proportional to 233,984.25 and 342,201.38 is: 500,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,984.25 : 342,201.38 = 342,201.38 : x
  2. Step 2: Convert to fraction form
    233,984.25/342,201.38 = 342,201.38/x
  3. Step 3: Cross multiply
    233,984.25x = 342,201.38 × 342,201.38
  4. Step 4: Simplify right side
    233,984.25x = 117,101,781,051.89
  5. Step 5: Solve for x
    x = 117,101,781,051.89/233,984.25
  6. Step 6: Final answer
    x = 500,468.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.