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Finding the Third Proportional to 175,780.13 and 230,181.75

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Solution

The third proportional to 175,780.13 and 230,181.75 is: 301,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,780.13 : 230,181.75 = 230,181.75 : x
  2. Step 2: Convert to fraction form
    175,780.13/230,181.75 = 230,181.75/x
  3. Step 3: Cross multiply
    175,780.13x = 230,181.75 × 230,181.75
  4. Step 4: Simplify right side
    175,780.13x = 52,983,638,033.06
  5. Step 5: Solve for x
    x = 52,983,638,033.06/175,780.13
  6. Step 6: Final answer
    x = 301,419.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.