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Finding the Third Proportional to 134,223.75 and 289,473.75

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Solution

The third proportional to 134,223.75 and 289,473.75 is: 624,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,223.75 : 289,473.75 = 289,473.75 : x
  2. Step 2: Convert to fraction form
    134,223.75/289,473.75 = 289,473.75/x
  3. Step 3: Cross multiply
    134,223.75x = 289,473.75 × 289,473.75
  4. Step 4: Simplify right side
    134,223.75x = 83,795,051,939.06
  5. Step 5: Solve for x
    x = 83,795,051,939.06/134,223.75
  6. Step 6: Final answer
    x = 624,293.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.