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Finding the Third Proportional to 129,013.50 and 303,558

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Solution

The third proportional to 129,013.50 and 303,558 is: 714,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,013.50 : 303,558 = 303,558 : x
  2. Step 2: Convert to fraction form
    129,013.50/303,558 = 303,558/x
  3. Step 3: Cross multiply
    129,013.50x = 303,558 × 303,558
  4. Step 4: Simplify right side
    129,013.50x = 92,147,459,364
  5. Step 5: Solve for x
    x = 92,147,459,364/129,013.50
  6. Step 6: Final answer
    x = 714,246.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.