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Finding the Third Proportional to 145,162.13 and 303,628.50

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Solution

The third proportional to 145,162.13 and 303,628.50 is: 635,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162.13 : 303,628.50 = 303,628.50 : x
  2. Step 2: Convert to fraction form
    145,162.13/303,628.50 = 303,628.50/x
  3. Step 3: Cross multiply
    145,162.13x = 303,628.50 × 303,628.50
  4. Step 4: Simplify right side
    145,162.13x = 92,190,266,012.25
  5. Step 5: Solve for x
    x = 92,190,266,012.25/145,162.13
  6. Step 6: Final answer
    x = 635,084.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.