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Finding the Third Proportional to 157,899 and 228,556.50

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Solution

The third proportional to 157,899 and 228,556.50 is: 330,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,899 : 228,556.50 = 228,556.50 : x
  2. Step 2: Convert to fraction form
    157,899/228,556.50 = 228,556.50/x
  3. Step 3: Cross multiply
    157,899x = 228,556.50 × 228,556.50
  4. Step 4: Simplify right side
    157,899x = 52,238,073,692.25
  5. Step 5: Solve for x
    x = 52,238,073,692.25/157,899
  6. Step 6: Final answer
    x = 330,832.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.