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Finding the Third Proportional to 139,292 and 325,468

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Solution

The third proportional to 139,292 and 325,468 is: 760,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,292 : 325,468 = 325,468 : x
  2. Step 2: Convert to fraction form
    139,292/325,468 = 325,468/x
  3. Step 3: Cross multiply
    139,292x = 325,468 × 325,468
  4. Step 4: Simplify right side
    139,292x = 105,929,419,024
  5. Step 5: Solve for x
    x = 105,929,419,024/139,292
  6. Step 6: Final answer
    x = 760,484.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.