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Finding the Third Proportional to 156,468 and 335,148

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Solution

The third proportional to 156,468 and 335,148 is: 717,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,468 : 335,148 = 335,148 : x
  2. Step 2: Convert to fraction form
    156,468/335,148 = 335,148/x
  3. Step 3: Cross multiply
    156,468x = 335,148 × 335,148
  4. Step 4: Simplify right side
    156,468x = 112,324,181,904
  5. Step 5: Solve for x
    x = 112,324,181,904/156,468
  6. Step 6: Final answer
    x = 717,873.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.