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Finding the Third Proportional to 214,193.25 and 470,417.25

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Solution

The third proportional to 214,193.25 and 470,417.25 is: 1,033,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,193.25 : 470,417.25 = 470,417.25 : x
  2. Step 2: Convert to fraction form
    214,193.25/470,417.25 = 470,417.25/x
  3. Step 3: Cross multiply
    214,193.25x = 470,417.25 × 470,417.25
  4. Step 4: Simplify right side
    214,193.25x = 221,292,389,097.56
  5. Step 5: Solve for x
    x = 221,292,389,097.56/214,193.25
  6. Step 6: Final answer
    x = 1,033,143.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.