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Finding the Third Proportional to 133,828.88 and 297,182.25

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Solution

The third proportional to 133,828.88 and 297,182.25 is: 659,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,828.88 : 297,182.25 = 297,182.25 : x
  2. Step 2: Convert to fraction form
    133,828.88/297,182.25 = 297,182.25/x
  3. Step 3: Cross multiply
    133,828.88x = 297,182.25 × 297,182.25
  4. Step 4: Simplify right side
    133,828.88x = 88,317,289,715.06
  5. Step 5: Solve for x
    x = 88,317,289,715.06/133,828.88
  6. Step 6: Final answer
    x = 659,927.01

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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.