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Finding the Third Proportional to 151,156 and 329,530

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Solution

The third proportional to 151,156 and 329,530 is: 718,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,156 : 329,530 = 329,530 : x
  2. Step 2: Convert to fraction form
    151,156/329,530 = 329,530/x
  3. Step 3: Cross multiply
    151,156x = 329,530 × 329,530
  4. Step 4: Simplify right side
    151,156x = 108,590,020,900
  5. Step 5: Solve for x
    x = 108,590,020,900/151,156
  6. Step 6: Final answer
    x = 718,397.03

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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.