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Finding the Third Proportional to 155,994 and 228,141

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Solution

The third proportional to 155,994 and 228,141 is: 333,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,994 : 228,141 = 228,141 : x
  2. Step 2: Convert to fraction form
    155,994/228,141 = 228,141/x
  3. Step 3: Cross multiply
    155,994x = 228,141 × 228,141
  4. Step 4: Simplify right side
    155,994x = 52,048,315,881
  5. Step 5: Solve for x
    x = 52,048,315,881/155,994
  6. Step 6: Final answer
    x = 333,655.88

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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.