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Finding the Third Proportional to 171,998.50 and 265,666

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Solution

The third proportional to 171,998.50 and 265,666 is: 410,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,998.50 : 265,666 = 265,666 : x
  2. Step 2: Convert to fraction form
    171,998.50/265,666 = 265,666/x
  3. Step 3: Cross multiply
    171,998.50x = 265,666 × 265,666
  4. Step 4: Simplify right side
    171,998.50x = 70,578,423,556
  5. Step 5: Solve for x
    x = 70,578,423,556/171,998.50
  6. Step 6: Final answer
    x = 410,343.25

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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.