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Finding the Third Proportional to 193,725 and 260,334

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Solution

The third proportional to 193,725 and 260,334 is: 349,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,725 : 260,334 = 260,334 : x
  2. Step 2: Convert to fraction form
    193,725/260,334 = 260,334/x
  3. Step 3: Cross multiply
    193,725x = 260,334 × 260,334
  4. Step 4: Simplify right side
    193,725x = 67,773,791,556
  5. Step 5: Solve for x
    x = 67,773,791,556/193,725
  6. Step 6: Final answer
    x = 349,845.36

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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.