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Finding the Third Proportional to 109,480 and 236,950

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Solution

The third proportional to 109,480 and 236,950 is: 512,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,480 : 236,950 = 236,950 : x
  2. Step 2: Convert to fraction form
    109,480/236,950 = 236,950/x
  3. Step 3: Cross multiply
    109,480x = 236,950 × 236,950
  4. Step 4: Simplify right side
    109,480x = 56,145,302,500
  5. Step 5: Solve for x
    x = 56,145,302,500/109,480
  6. Step 6: Final answer
    x = 512,836.16

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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.