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Finding the Third Proportional to 155,415.38 and 228,023.44

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Solution

The third proportional to 155,415.38 and 228,023.44 is: 334,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,415.38 : 228,023.44 = 228,023.44 : x
  2. Step 2: Convert to fraction form
    155,415.38/228,023.44 = 228,023.44/x
  3. Step 3: Cross multiply
    155,415.38x = 228,023.44 × 228,023.44
  4. Step 4: Simplify right side
    155,415.38x = 51,994,688,049.32
  5. Step 5: Solve for x
    x = 51,994,688,049.32/155,415.38
  6. Step 6: Final answer
    x = 334,553.05

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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.