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Finding the Third Proportional to 132,904 and 229,308

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Solution

The third proportional to 132,904 and 229,308 is: 395,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,904 : 229,308 = 229,308 : x
  2. Step 2: Convert to fraction form
    132,904/229,308 = 229,308/x
  3. Step 3: Cross multiply
    132,904x = 229,308 × 229,308
  4. Step 4: Simplify right side
    132,904x = 52,582,158,864
  5. Step 5: Solve for x
    x = 52,582,158,864/132,904
  6. Step 6: Final answer
    x = 395,640.15

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.