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Finding the Third Proportional to 155,905 and 228,025.50

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Solution

The third proportional to 155,905 and 228,025.50 is: 333,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,905 : 228,025.50 = 228,025.50 : x
  2. Step 2: Convert to fraction form
    155,905/228,025.50 = 228,025.50/x
  3. Step 3: Cross multiply
    155,905x = 228,025.50 × 228,025.50
  4. Step 4: Simplify right side
    155,905x = 51,995,628,650.25
  5. Step 5: Solve for x
    x = 51,995,628,650.25/155,905
  6. Step 6: Final answer
    x = 333,508.41

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