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Finding the Third Proportional to 152,550 and 230,796

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Solution

The third proportional to 152,550 and 230,796 is: 349,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,550 : 230,796 = 230,796 : x
  2. Step 2: Convert to fraction form
    152,550/230,796 = 230,796/x
  3. Step 3: Cross multiply
    152,550x = 230,796 × 230,796
  4. Step 4: Simplify right side
    152,550x = 53,266,793,616
  5. Step 5: Solve for x
    x = 53,266,793,616/152,550
  6. Step 6: Final answer
    x = 349,175.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.