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Finding the Third Proportional to 104,143 and 228,765.50

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Solution

The third proportional to 104,143 and 228,765.50 is: 502,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,143 : 228,765.50 = 228,765.50 : x
  2. Step 2: Convert to fraction form
    104,143/228,765.50 = 228,765.50/x
  3. Step 3: Cross multiply
    104,143x = 228,765.50 × 228,765.50
  4. Step 4: Simplify right side
    104,143x = 52,333,653,990.25
  5. Step 5: Solve for x
    x = 52,333,653,990.25/104,143
  6. Step 6: Final answer
    x = 502,517.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.