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Finding the Third Proportional to 109,918 and 235,386

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Solution

The third proportional to 109,918 and 235,386 is: 504,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,918 : 235,386 = 235,386 : x
  2. Step 2: Convert to fraction form
    109,918/235,386 = 235,386/x
  3. Step 3: Cross multiply
    109,918x = 235,386 × 235,386
  4. Step 4: Simplify right side
    109,918x = 55,406,568,996
  5. Step 5: Solve for x
    x = 55,406,568,996/109,918
  6. Step 6: Final answer
    x = 504,071.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.