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Finding the Third Proportional to 106,058 and 228,720

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Solution

The third proportional to 106,058 and 228,720 is: 493,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,058 : 228,720 = 228,720 : x
  2. Step 2: Convert to fraction form
    106,058/228,720 = 228,720/x
  3. Step 3: Cross multiply
    106,058x = 228,720 × 228,720
  4. Step 4: Simplify right side
    106,058x = 52,312,838,400
  5. Step 5: Solve for x
    x = 52,312,838,400/106,058
  6. Step 6: Final answer
    x = 493,247.45

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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.