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Finding the Third Proportional to 153,864 and 230,796

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Solution

The third proportional to 153,864 and 230,796 is: 346,194

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,864 : 230,796 = 230,796 : x
  2. Step 2: Convert to fraction form
    153,864/230,796 = 230,796/x
  3. Step 3: Cross multiply
    153,864x = 230,796 × 230,796
  4. Step 4: Simplify right side
    153,864x = 53,266,793,616
  5. Step 5: Solve for x
    x = 53,266,793,616/153,864
  6. Step 6: Final answer
    x = 346,194

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.