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Finding the Third Proportional to 70,408 and 151,904

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Solution

The third proportional to 70,408 and 151,904 is: 327,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408 : 151,904 = 151,904 : x
  2. Step 2: Convert to fraction form
    70,408/151,904 = 151,904/x
  3. Step 3: Cross multiply
    70,408x = 151,904 × 151,904
  4. Step 4: Simplify right side
    70,408x = 23,074,825,216
  5. Step 5: Solve for x
    x = 23,074,825,216/70,408
  6. Step 6: Final answer
    x = 327,730.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.