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Finding the Third Proportional to 193,749 and 260,370

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Solution

The third proportional to 193,749 and 260,370 is: 349,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,749 : 260,370 = 260,370 : x
  2. Step 2: Convert to fraction form
    193,749/260,370 = 260,370/x
  3. Step 3: Cross multiply
    193,749x = 260,370 × 260,370
  4. Step 4: Simplify right side
    193,749x = 67,792,536,900
  5. Step 5: Solve for x
    x = 67,792,536,900/193,749
  6. Step 6: Final answer
    x = 349,898.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.