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Finding the Third Proportional to 106,143 and 228,900

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Solution

The third proportional to 106,143 and 228,900 is: 493,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,143 : 228,900 = 228,900 : x
  2. Step 2: Convert to fraction form
    106,143/228,900 = 228,900/x
  3. Step 3: Cross multiply
    106,143x = 228,900 × 228,900
  4. Step 4: Simplify right side
    106,143x = 52,395,210,000
  5. Step 5: Solve for x
    x = 52,395,210,000/106,143
  6. Step 6: Final answer
    x = 493,628.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.