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Finding the Third Proportional to 133,612.31 and 200,594.25

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Solution

The third proportional to 133,612.31 and 200,594.25 is: 301,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,612.31 : 200,594.25 = 200,594.25 : x
  2. Step 2: Convert to fraction form
    133,612.31/200,594.25 = 200,594.25/x
  3. Step 3: Cross multiply
    133,612.31x = 200,594.25 × 200,594.25
  4. Step 4: Simplify right side
    133,612.31x = 40,238,053,133.06
  5. Step 5: Solve for x
    x = 40,238,053,133.06/133,612.31
  6. Step 6: Final answer
    x = 301,155.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.