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Finding the Third Proportional to 113,053.50 and 245,790

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Solution

The third proportional to 113,053.50 and 245,790 is: 534,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,053.50 : 245,790 = 245,790 : x
  2. Step 2: Convert to fraction form
    113,053.50/245,790 = 245,790/x
  3. Step 3: Cross multiply
    113,053.50x = 245,790 × 245,790
  4. Step 4: Simplify right side
    113,053.50x = 60,412,724,100
  5. Step 5: Solve for x
    x = 60,412,724,100/113,053.50
  6. Step 6: Final answer
    x = 534,372.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.