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Finding the Third Proportional to 203,312.25 and 452,063.25

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Solution

The third proportional to 203,312.25 and 452,063.25 is: 1,005,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,312.25 : 452,063.25 = 452,063.25 : x
  2. Step 2: Convert to fraction form
    203,312.25/452,063.25 = 452,063.25/x
  3. Step 3: Cross multiply
    203,312.25x = 452,063.25 × 452,063.25
  4. Step 4: Simplify right side
    203,312.25x = 204,361,182,000.56
  5. Step 5: Solve for x
    x = 204,361,182,000.56/203,312.25
  6. Step 6: Final answer
    x = 1,005,159.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.