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Finding the Third Proportional to 153,034.50 and 333,174

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Solution

The third proportional to 153,034.50 and 333,174 is: 725,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,034.50 : 333,174 = 333,174 : x
  2. Step 2: Convert to fraction form
    153,034.50/333,174 = 333,174/x
  3. Step 3: Cross multiply
    153,034.50x = 333,174 × 333,174
  4. Step 4: Simplify right side
    153,034.50x = 111,004,914,276
  5. Step 5: Solve for x
    x = 111,004,914,276/153,034.50
  6. Step 6: Final answer
    x = 725,358.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.