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Finding the Third Proportional to 106,064 and 228,733

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Solution

The third proportional to 106,064 and 228,733 is: 493,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,064 : 228,733 = 228,733 : x
  2. Step 2: Convert to fraction form
    106,064/228,733 = 228,733/x
  3. Step 3: Cross multiply
    106,064x = 228,733 × 228,733
  4. Step 4: Simplify right side
    106,064x = 52,318,785,289
  5. Step 5: Solve for x
    x = 52,318,785,289/106,064
  6. Step 6: Final answer
    x = 493,275.62

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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.