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Finding the Third Proportional to 223,202.25 and 335,312.16

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Solution

The third proportional to 223,202.25 and 335,312.16 is: 503,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,202.25 : 335,312.16 = 335,312.16 : x
  2. Step 2: Convert to fraction form
    223,202.25/335,312.16 = 335,312.16/x
  3. Step 3: Cross multiply
    223,202.25x = 335,312.16 × 335,312.16
  4. Step 4: Simplify right side
    223,202.25x = 112,434,242,129.02
  5. Step 5: Solve for x
    x = 112,434,242,129.02/223,202.25
  6. Step 6: Final answer
    x = 503,732.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.