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Finding the Third Proportional to 229,524.75 and 344,288.25

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Solution

The third proportional to 229,524.75 and 344,288.25 is: 516,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,524.75 : 344,288.25 = 344,288.25 : x
  2. Step 2: Convert to fraction form
    229,524.75/344,288.25 = 344,288.25/x
  3. Step 3: Cross multiply
    229,524.75x = 344,288.25 × 344,288.25
  4. Step 4: Simplify right side
    229,524.75x = 118,534,399,088.06
  5. Step 5: Solve for x
    x = 118,534,399,088.06/229,524.75
  6. Step 6: Final answer
    x = 516,434.06

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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.