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Finding the Third Proportional to 109,486 and 236,964

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Solution

The third proportional to 109,486 and 236,964 is: 512,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486 : 236,964 = 236,964 : x
  2. Step 2: Convert to fraction form
    109,486/236,964 = 236,964/x
  3. Step 3: Cross multiply
    109,486x = 236,964 × 236,964
  4. Step 4: Simplify right side
    109,486x = 56,151,937,296
  5. Step 5: Solve for x
    x = 56,151,937,296/109,486
  6. Step 6: Final answer
    x = 512,868.65

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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.