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Finding the Third Proportional to 153,028 and 333,161

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Solution

The third proportional to 153,028 and 333,161 is: 725,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,028 : 333,161 = 333,161 : x
  2. Step 2: Convert to fraction form
    153,028/333,161 = 333,161/x
  3. Step 3: Cross multiply
    153,028x = 333,161 × 333,161
  4. Step 4: Simplify right side
    153,028x = 110,996,251,921
  5. Step 5: Solve for x
    x = 110,996,251,921/153,028
  6. Step 6: Final answer
    x = 725,332.96

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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.