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Finding the Third Proportional to 222,985.13 and 464,438.25

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Solution

The third proportional to 222,985.13 and 464,438.25 is: 967,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,985.13 : 464,438.25 = 464,438.25 : x
  2. Step 2: Convert to fraction form
    222,985.13/464,438.25 = 464,438.25/x
  3. Step 3: Cross multiply
    222,985.13x = 464,438.25 × 464,438.25
  4. Step 4: Simplify right side
    222,985.13x = 215,702,888,063.06
  5. Step 5: Solve for x
    x = 215,702,888,063.06/222,985.13
  6. Step 6: Final answer
    x = 967,342.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.