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Finding the Third Proportional to 113,984 and 247,288

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Solution

The third proportional to 113,984 and 247,288 is: 536,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,984 : 247,288 = 247,288 : x
  2. Step 2: Convert to fraction form
    113,984/247,288 = 247,288/x
  3. Step 3: Cross multiply
    113,984x = 247,288 × 247,288
  4. Step 4: Simplify right side
    113,984x = 61,151,354,944
  5. Step 5: Solve for x
    x = 61,151,354,944/113,984
  6. Step 6: Final answer
    x = 536,490.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.