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Finding the Third Proportional to 145,093.50 and 325,899

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Solution

The third proportional to 145,093.50 and 325,899 is: 732,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,093.50 : 325,899 = 325,899 : x
  2. Step 2: Convert to fraction form
    145,093.50/325,899 = 325,899/x
  3. Step 3: Cross multiply
    145,093.50x = 325,899 × 325,899
  4. Step 4: Simplify right side
    145,093.50x = 106,210,158,201
  5. Step 5: Solve for x
    x = 106,210,158,201/145,093.50
  6. Step 6: Final answer
    x = 732,011.83

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.