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Finding the Third Proportional to 133,675.31 and 297,236.25

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Solution

The third proportional to 133,675.31 and 297,236.25 is: 660,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,675.31 : 297,236.25 = 297,236.25 : x
  2. Step 2: Convert to fraction form
    133,675.31/297,236.25 = 297,236.25/x
  3. Step 3: Cross multiply
    133,675.31x = 297,236.25 × 297,236.25
  4. Step 4: Simplify right side
    133,675.31x = 88,349,388,314.06
  5. Step 5: Solve for x
    x = 88,349,388,314.06/133,675.31
  6. Step 6: Final answer
    x = 660,925.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.