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Finding the Third Proportional to 151,144 and 329,918.50

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Solution

The third proportional to 151,144 and 329,918.50 is: 720,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,144 : 329,918.50 = 329,918.50 : x
  2. Step 2: Convert to fraction form
    151,144/329,918.50 = 329,918.50/x
  3. Step 3: Cross multiply
    151,144x = 329,918.50 × 329,918.50
  4. Step 4: Simplify right side
    151,144x = 108,846,216,642.25
  5. Step 5: Solve for x
    x = 108,846,216,642.25/151,144
  6. Step 6: Final answer
    x = 720,149.11

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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.