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Finding the Third Proportional to 113,660 and 247,270

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Solution

The third proportional to 113,660 and 247,270 is: 537,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,660 : 247,270 = 247,270 : x
  2. Step 2: Convert to fraction form
    113,660/247,270 = 247,270/x
  3. Step 3: Cross multiply
    113,660x = 247,270 × 247,270
  4. Step 4: Simplify right side
    113,660x = 61,142,452,900
  5. Step 5: Solve for x
    x = 61,142,452,900/113,660
  6. Step 6: Final answer
    x = 537,941.69

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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.