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Finding the Third Proportional to 131,356.69 and 230,181.75

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Solution

The third proportional to 131,356.69 and 230,181.75 is: 403,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,356.69 : 230,181.75 = 230,181.75 : x
  2. Step 2: Convert to fraction form
    131,356.69/230,181.75 = 230,181.75/x
  3. Step 3: Cross multiply
    131,356.69x = 230,181.75 × 230,181.75
  4. Step 4: Simplify right side
    131,356.69x = 52,983,638,033.06
  5. Step 5: Solve for x
    x = 52,983,638,033.06/131,356.69
  6. Step 6: Final answer
    x = 403,356.99

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.