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Finding the Third Proportional to 113,778 and 245,000

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Solution

The third proportional to 113,778 and 245,000 is: 527,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,778 : 245,000 = 245,000 : x
  2. Step 2: Convert to fraction form
    113,778/245,000 = 245,000/x
  3. Step 3: Cross multiply
    113,778x = 245,000 × 245,000
  4. Step 4: Simplify right side
    113,778x = 60,025,000,000
  5. Step 5: Solve for x
    x = 60,025,000,000/113,778
  6. Step 6: Final answer
    x = 527,562.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.