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Finding the Third Proportional to 214,317.56 and 458,159.63

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Solution

The third proportional to 214,317.56 and 458,159.63 is: 979,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,317.56 : 458,159.63 = 458,159.63 : x
  2. Step 2: Convert to fraction form
    214,317.56/458,159.63 = 458,159.63/x
  3. Step 3: Cross multiply
    214,317.56x = 458,159.63 × 458,159.63
  4. Step 4: Simplify right side
    214,317.56x = 209,910,241,980.14
  5. Step 5: Solve for x
    x = 209,910,241,980.14/214,317.56
  6. Step 6: Final answer
    x = 979,435.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.