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Finding the Third Proportional to 171,993 and 265,657.50

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Solution

The third proportional to 171,993 and 265,657.50 is: 410,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,993 : 265,657.50 = 265,657.50 : x
  2. Step 2: Convert to fraction form
    171,993/265,657.50 = 265,657.50/x
  3. Step 3: Cross multiply
    171,993x = 265,657.50 × 265,657.50
  4. Step 4: Simplify right side
    171,993x = 70,573,907,306.25
  5. Step 5: Solve for x
    x = 70,573,907,306.25/171,993
  6. Step 6: Final answer
    x = 410,330.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.