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Finding the Third Proportional to 153,997 and 230,366.50

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Solution

The third proportional to 153,997 and 230,366.50 is: 344,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,997 : 230,366.50 = 230,366.50 : x
  2. Step 2: Convert to fraction form
    153,997/230,366.50 = 230,366.50/x
  3. Step 3: Cross multiply
    153,997x = 230,366.50 × 230,366.50
  4. Step 4: Simplify right side
    153,997x = 53,068,724,322.25
  5. Step 5: Solve for x
    x = 53,068,724,322.25/153,997
  6. Step 6: Final answer
    x = 344,608.82

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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.