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Finding the Third Proportional to 236,765.25 and 503,104.50

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Solution

The third proportional to 236,765.25 and 503,104.50 is: 1,069,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,765.25 : 503,104.50 = 503,104.50 : x
  2. Step 2: Convert to fraction form
    236,765.25/503,104.50 = 503,104.50/x
  3. Step 3: Cross multiply
    236,765.25x = 503,104.50 × 503,104.50
  4. Step 4: Simplify right side
    236,765.25x = 253,114,137,920.25
  5. Step 5: Solve for x
    x = 253,114,137,920.25/236,765.25
  6. Step 6: Final answer
    x = 1,069,051.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.