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Finding the Third Proportional to 155,990.25 and 228,135.38

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Solution

The third proportional to 155,990.25 and 228,135.38 is: 333,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,990.25 : 228,135.38 = 228,135.38 : x
  2. Step 2: Convert to fraction form
    155,990.25/228,135.38 = 228,135.38/x
  3. Step 3: Cross multiply
    155,990.25x = 228,135.38 × 228,135.38
  4. Step 4: Simplify right side
    155,990.25x = 52,045,749,326.39
  5. Step 5: Solve for x
    x = 52,045,749,326.39/155,990.25
  6. Step 6: Final answer
    x = 333,647.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.