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Finding the Third Proportional to 174,072 and 234,864

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Solution

The third proportional to 174,072 and 234,864 is: 316,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,072 : 234,864 = 234,864 : x
  2. Step 2: Convert to fraction form
    174,072/234,864 = 234,864/x
  3. Step 3: Cross multiply
    174,072x = 234,864 × 234,864
  4. Step 4: Simplify right side
    174,072x = 55,161,098,496
  5. Step 5: Solve for x
    x = 55,161,098,496/174,072
  6. Step 6: Final answer
    x = 316,886.68

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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.