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Finding the Third Proportional to 151,338 and 325,460

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Solution

The third proportional to 151,338 and 325,460 is: 699,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,338 : 325,460 = 325,460 : x
  2. Step 2: Convert to fraction form
    151,338/325,460 = 325,460/x
  3. Step 3: Cross multiply
    151,338x = 325,460 × 325,460
  4. Step 4: Simplify right side
    151,338x = 105,924,211,600
  5. Step 5: Solve for x
    x = 105,924,211,600/151,338
  6. Step 6: Final answer
    x = 699,918.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.