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Finding the Third Proportional to 109,996 and 237,368

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Solution

The third proportional to 109,996 and 237,368 is: 512,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,996 : 237,368 = 237,368 : x
  2. Step 2: Convert to fraction form
    109,996/237,368 = 237,368/x
  3. Step 3: Cross multiply
    109,996x = 237,368 × 237,368
  4. Step 4: Simplify right side
    109,996x = 56,343,567,424
  5. Step 5: Solve for x
    x = 56,343,567,424/109,996
  6. Step 6: Final answer
    x = 512,232.88

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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.