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Finding the Third Proportional to 174,905 and 236,293

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Solution

The third proportional to 174,905 and 236,293 is: 319,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,905 : 236,293 = 236,293 : x
  2. Step 2: Convert to fraction form
    174,905/236,293 = 236,293/x
  3. Step 3: Cross multiply
    174,905x = 236,293 × 236,293
  4. Step 4: Simplify right side
    174,905x = 55,834,381,849
  5. Step 5: Solve for x
    x = 55,834,381,849/174,905
  6. Step 6: Final answer
    x = 319,226.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.