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Finding the Third Proportional to 151,208 and 321,532

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Solution

The third proportional to 151,208 and 321,532 is: 683,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,208 : 321,532 = 321,532 : x
  2. Step 2: Convert to fraction form
    151,208/321,532 = 321,532/x
  3. Step 3: Cross multiply
    151,208x = 321,532 × 321,532
  4. Step 4: Simplify right side
    151,208x = 103,382,827,024
  5. Step 5: Solve for x
    x = 103,382,827,024/151,208
  6. Step 6: Final answer
    x = 683,712.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.