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Finding the Third Proportional to 113,369 and 247,460

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Solution

The third proportional to 113,369 and 247,460 is: 540,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,369 : 247,460 = 247,460 : x
  2. Step 2: Convert to fraction form
    113,369/247,460 = 247,460/x
  3. Step 3: Cross multiply
    113,369x = 247,460 × 247,460
  4. Step 4: Simplify right side
    113,369x = 61,236,451,600
  5. Step 5: Solve for x
    x = 61,236,451,600/113,369
  6. Step 6: Final answer
    x = 540,151.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.