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Finding the Third Proportional to 151,780 and 333,085

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Solution

The third proportional to 151,780 and 333,085 is: 730,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,780 : 333,085 = 333,085 : x
  2. Step 2: Convert to fraction form
    151,780/333,085 = 333,085/x
  3. Step 3: Cross multiply
    151,780x = 333,085 × 333,085
  4. Step 4: Simplify right side
    151,780x = 110,945,617,225
  5. Step 5: Solve for x
    x = 110,945,617,225/151,780
  6. Step 6: Final answer
    x = 730,963.35

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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.