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Finding the Third Proportional to 165,904 and 243,672

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Solution

The third proportional to 165,904 and 243,672 is: 357,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,904 : 243,672 = 243,672 : x
  2. Step 2: Convert to fraction form
    165,904/243,672 = 243,672/x
  3. Step 3: Cross multiply
    165,904x = 243,672 × 243,672
  4. Step 4: Simplify right side
    165,904x = 59,376,043,584
  5. Step 5: Solve for x
    x = 59,376,043,584/165,904
  6. Step 6: Final answer
    x = 357,893.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.