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Finding the Third Proportional to 155,524.50 and 228,321

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Solution

The third proportional to 155,524.50 and 228,321 is: 335,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524.50 : 228,321 = 228,321 : x
  2. Step 2: Convert to fraction form
    155,524.50/228,321 = 228,321/x
  3. Step 3: Cross multiply
    155,524.50x = 228,321 × 228,321
  4. Step 4: Simplify right side
    155,524.50x = 52,130,479,041
  5. Step 5: Solve for x
    x = 52,130,479,041/155,524.50
  6. Step 6: Final answer
    x = 335,191.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.