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Finding the Third Proportional to 243,006.75 and 333,717.75

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Solution

The third proportional to 243,006.75 and 333,717.75 is: 458,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,006.75 : 333,717.75 = 333,717.75 : x
  2. Step 2: Convert to fraction form
    243,006.75/333,717.75 = 333,717.75/x
  3. Step 3: Cross multiply
    243,006.75x = 333,717.75 × 333,717.75
  4. Step 4: Simplify right side
    243,006.75x = 111,367,536,665.06
  5. Step 5: Solve for x
    x = 111,367,536,665.06/243,006.75
  6. Step 6: Final answer
    x = 458,289.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.