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Finding the Third Proportional to 110,397 and 245,778

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Solution

The third proportional to 110,397 and 245,778 is: 547,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,397 : 245,778 = 245,778 : x
  2. Step 2: Convert to fraction form
    110,397/245,778 = 245,778/x
  3. Step 3: Cross multiply
    110,397x = 245,778 × 245,778
  4. Step 4: Simplify right side
    110,397x = 60,406,825,284
  5. Step 5: Solve for x
    x = 60,406,825,284/110,397
  6. Step 6: Final answer
    x = 547,178.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.