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Finding the Third Proportional to 151,931 and 333,022

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Solution

The third proportional to 151,931 and 333,022 is: 729,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,931 : 333,022 = 333,022 : x
  2. Step 2: Convert to fraction form
    151,931/333,022 = 333,022/x
  3. Step 3: Cross multiply
    151,931x = 333,022 × 333,022
  4. Step 4: Simplify right side
    151,931x = 110,903,652,484
  5. Step 5: Solve for x
    x = 110,903,652,484/151,931
  6. Step 6: Final answer
    x = 729,960.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.