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Finding the Third Proportional to 180,904 and 265,936

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Solution

The third proportional to 180,904 and 265,936 is: 390,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,904 : 265,936 = 265,936 : x
  2. Step 2: Convert to fraction form
    180,904/265,936 = 265,936/x
  3. Step 3: Cross multiply
    180,904x = 265,936 × 265,936
  4. Step 4: Simplify right side
    180,904x = 70,721,956,096
  5. Step 5: Solve for x
    x = 70,721,956,096/180,904
  6. Step 6: Final answer
    x = 390,936.39

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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.