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Finding the Third Proportional to 214,189.31 and 465,250.08

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Solution

The third proportional to 214,189.31 and 465,250.08 is: 1,010,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,189.31 : 465,250.08 = 465,250.08 : x
  2. Step 2: Convert to fraction form
    214,189.31/465,250.08 = 465,250.08/x
  3. Step 3: Cross multiply
    214,189.31x = 465,250.08 × 465,250.08
  4. Step 4: Simplify right side
    214,189.31x = 216,457,635,195.32
  5. Step 5: Solve for x
    x = 216,457,635,195.32/214,189.31
  6. Step 6: Final answer
    x = 1,010,590.27

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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.