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Finding the Third Proportional to 153,063.75 and 229,749.75

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Solution

The third proportional to 153,063.75 and 229,749.75 is: 344,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,063.75 : 229,749.75 = 229,749.75 : x
  2. Step 2: Convert to fraction form
    153,063.75/229,749.75 = 229,749.75/x
  3. Step 3: Cross multiply
    153,063.75x = 229,749.75 × 229,749.75
  4. Step 4: Simplify right side
    153,063.75x = 52,784,947,625.06
  5. Step 5: Solve for x
    x = 52,784,947,625.06/153,063.75
  6. Step 6: Final answer
    x = 344,855.97

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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.