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Finding the Third Proportional to 151,746 and 328,094

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Solution

The third proportional to 151,746 and 328,094 is: 709,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,746 : 328,094 = 328,094 : x
  2. Step 2: Convert to fraction form
    151,746/328,094 = 328,094/x
  3. Step 3: Cross multiply
    151,746x = 328,094 × 328,094
  4. Step 4: Simplify right side
    151,746x = 107,645,672,836
  5. Step 5: Solve for x
    x = 107,645,672,836/151,746
  6. Step 6: Final answer
    x = 709,380.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.