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Finding the Third Proportional to 118,378 and 260,083

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Solution

The third proportional to 118,378 and 260,083 is: 571,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,378 : 260,083 = 260,083 : x
  2. Step 2: Convert to fraction form
    118,378/260,083 = 260,083/x
  3. Step 3: Cross multiply
    118,378x = 260,083 × 260,083
  4. Step 4: Simplify right side
    118,378x = 67,643,166,889
  5. Step 5: Solve for x
    x = 67,643,166,889/118,378
  6. Step 6: Final answer
    x = 571,416.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.