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Finding the Third Proportional to 250,011.56 and 406,182.09

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Solution

The third proportional to 250,011.56 and 406,182.09 is: 659,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,011.56 : 406,182.09 = 406,182.09 : x
  2. Step 2: Convert to fraction form
    250,011.56/406,182.09 = 406,182.09/x
  3. Step 3: Cross multiply
    250,011.56x = 406,182.09 × 406,182.09
  4. Step 4: Simplify right side
    250,011.56x = 164,983,893,283.13
  5. Step 5: Solve for x
    x = 164,983,893,283.13/250,011.56
  6. Step 6: Final answer
    x = 659,905.05

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.